Qi, Feng

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 Author ID: qi.feng Published as: Qi, Feng; Qi, F.; Qui, Feng; Feng, Qi more...less Homepage: https://qifeng618.wordpress.com External Links: MGP · ORCID · arXiv · ResearchGate · Math-Net.Ru · dblp
 Documents Indexed: 499 Publications since 1993 Reviewing Activity: 41 Reviews Co-Authors: 155 Co-Authors with 428 Joint Publications 5,281 Co-Co-Authors
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Co-Authors

 65 single-authored 152 Guo, Bai-Ni 36 Chen, Chaoping 36 Xi, Boyan 27 Luo, Qiuming 26 Niu, Dawei 18 Lim, Dongkyu 16 Cao, Jian 15 Guo, Senlin 13 Li, Wenhui 11 Zhao, Jiaolian 10 Shi, Xiaoting 9 Jiang, Weidong 9 Wang, Shuhong 9 Wang, Yan 9 Xu, Senlin 8 Chen, Shouxin 8 Shuang, Ye 8 Sooppy Nisar, Kottakkaran 8 Srivastava, Hari Mohan 7 Dragomir, Sever Silvestru 7 Wang, Jing-Lin 7 Yin, Li 7 Zhang, Xiaojing 6 Debnath, Lokenath 6 Liu, Aiqi 6 Liu, Fangfang 6 Rahman, Gauhar 5 Cerone, Pietro 5 Yin, Hongping 5 Zhang, Tianyu 4 Bai, Shu-Ping 4 Hong, Yan 4 Hua, Jü 4 Ji, Ai-Ping 4 Li, Wei 4 Mahmoud, Mansour 4 Mortici, Cristinel 4 Wu, Ying 4 Zhang, Shiqin 3 Acikgoz, Mehmet 3 Araci, Serkan 3 Guo, Xu-Yang 3 Hoorfar, Abdolhossein 3 Hua, Yun 3 Mei, Jiaqiang 3 Miao, Yu 3 Shi, Huannan 3 Wei, Chunfu 3 Yao, Yonghong 3 Zhang, Suling 3 Zheng, Miaomiao 2 Agarwal, Praveen 2 Awan, Muhammad Uzair 2 Bai, Rui-Fang 2 Čerňanová, Viera 2 Chand, Mehar 2 Cheng, Junxiang 2 Chun, Ling 2 Du, Wei-Shih 2 Ghaffar, Abdul 2 Han, Lingxiong 2 He, Chun-Ying 2 Huang, Chuan-Jun 2 Huang, Zheng 2 Huo, Zhenhong 2 Li, Xiaoai 2 Mubeen, Shahid 2 Noor, Muhammad Aslam 2 Pei, Zhi-Li 2 Sofo, Anthony 2 Wang, Leilei 2 Wei, Zongli 2 Xia, Dafeng 2 Yang, Qiao 2 Zhang, Yingjie 1 Agarwal, Ravi P. 1 Akavaram, Venkatalakshmi 1 Arshad, Muhammad Sarmad 1 Bai, Yumei 1 Barnett, Neil Stuart 1 Berg, Christian 1 Bhukya, Ravi 1 Chan, Tsz Ho 1 Chapman, Robin J. 1 Chen, Rongjiang 1 Chu, Xiaoguang 1 Chu, Yuming 1 Cui, Lihong 1 Cui, Runqing 1 Cui, Yunqing 1 Dağli, Muhammet Cihat 1 Dolgiĭ, Dmitriĭ Viktorovich 1 Du, Xinyu 1 Gao, Peng 1 Guo, Tianfen 1 Habib, Siddra 1 He, Jianhui 1 Hussain, Sardar Muhammad 1 Jain, Shilpi 1 Jang, Lee-Chae ...and 58 more Co-Authors
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Serials

 30 Mathematical Inequalities & Applications 20 Journal of Inequalities and Applications 18 Journal of Computational and Applied Mathematics 17 Tamkang Journal of Mathematics 13 Integral Transforms and Special Functions 13 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 12 Applied Mathematics and Computation 11 Journal of Mathematical Analysis and Applications 11 Journal of Nonlinear Science and Applications 10 Filomat 10 Analysis (München) 9 Advanced Studies in Contemporary Mathematics (Kyungshang) 9 The Australian Journal of Mathematical Analysis and Applications 9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 AIMS Mathematics 8 International Journal of Mathematics and Mathematical Sciences 8 Journal of Mathematical Inequalities 8 Cogent Mathematics 7 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 7 Acta Universitatis Sapientiae. Mathematica 6 Mathematica Slovaca 6 Nonlinear Functional Analysis and Applications 6 Hacettepe Journal of Mathematics and Statistics 6 Mathematics 5 Periodica Mathematica Hungarica 5 Rocky Mountain Journal of Mathematics 5 Taiwanese Journal of Mathematics 5 Applied Mathematics E-Notes 5 Applicable Analysis and Discrete Mathematics 5 International Journal of Analysis and Applications 4 International Journal of Mathematical Education in Science and Technology 4 Proceedings of the American Mathematical Society 4 Publications de l’Institut Mathématique. Nouvelle Série 4 Mathematics in Practice and Theory 4 Journal of Computational Analysis and Applications 4 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 4 Mediterranean Journal of Mathematics 4 Miskolc Mathematical Notes 4 Journal of Mathematical Analysis and Approximation Theory 3 Analysis Mathematica 3 Journal of the Korean Mathematical Society 3 Journal of Number Theory 3 Le Matematiche 3 Results in Mathematics 3 Journal of Mathematical Research & Exposition 3 Bulletin of the Korean Mathematical Society 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika 3 Georgian Mathematical Journal 3 Journal of Applied Analysis 3 Abstract and Applied Analysis 3 Communications of the Korean Mathematical Society 3 Proceedings of the Jangjeon Mathematical Society 3 Journal of the Indonesian Mathematical Society 3 Journal of Applied Analysis and Computation 3 Problemy Analiza. Issues of Analysis 3 Open Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 The Australian Mathematical Society Gazette 2 Journal of Approximation Theory 2 Publicationes Mathematicae Debrecen 2 Zeitschrift für Analysis und ihre Anwendungen 2 Bulletin of the Iranian Mathematical Society 2 Mathematica Applicata 2 Studia Universitatis Babeș-Bolyai. Mathematica 2 Indagationes Mathematicae. New Series 2 General Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Chinese Quarterly Journal of Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Kragujevac Journal of Mathematics 2 Cubo Matemática Educacional 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Advances in Difference Equations 2 International Journal of Applied Mathematical Sciences 2 Contributions to Discrete Mathematics 2 Banach Journal of Mathematical Analysis 2 Tbilisi Mathematical Journal 2 Afrika Matematika 2 Transactions of A. Razmadze Mathematical Institute 2 Korean Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Acta Scientiarum Mathematicarum 1 Fasciculi Mathematici 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Real Analysis Exchange 1 Rostocker Mathematisches Kolloquium 1 Studia Scientiarum Mathematicarum Hungarica 1 Soochow Journal of Mathematics 1 Advances in Applied Mathematics 1 Journal of Mathematics. Wuhan University 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Facta Universitatis. Series Mathematics and Informatics 1 Numerical Algorithms ...and 40 more Serials
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Fields

 377 Real functions (26-XX) 215 Special functions (33-XX) 118 Number theory (11-XX) 57 Approximations and expansions (41-XX) 44 Combinatorics (05-XX) 41 Integral transforms, operational calculus (44-XX) 22 Functions of a complex variable (30-XX) 20 Numerical analysis (65-XX) 16 Ordinary differential equations (34-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 10 Probability theory and stochastic processes (60-XX) 6 Sequences, series, summability (40-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Differential geometry (53-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Associative rings and algebras (16-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 2 Mathematics education (97-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH Open

417 Publications have been cited 3,955 times in 1,124 Documents Cited by Year
A complete monotonicity property of the gamma function. Zbl 1046.33001
Qi, Feng; Chen, Chao-Ping
2004
Bounds for the ratio of two gamma functions. Zbl 1194.33005
Qi, Feng
2010
Some completely monotonic functions involving the gamma and polygamma functions. Zbl 1094.33002
Qi, Feng; Guo, Baini; Chen, Chaoping
2006
Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind. Zbl 1385.11011
Qi, Feng
2014
Complete monotonicity of some functions involving polygamma functions. Zbl 1188.26007
Qi, Feng; Guo, Senlin; Guo, Bai-Ni
2010
Two closed forms for the Bernoulli polynomials. Zbl 1400.11070
Qi, Feng; Chapman, Robin J.
2016
A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function. Zbl 1299.26022
Guo, Bai-Ni; Qi, Feng
2010
Some completely monotonic functions involving polygamma functions and an application. Zbl 1074.33005
Qi, Feng; Cui, Run-Qing; Chen, Chao-Ping; Guo, Bai-Ni
2005
A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers. Zbl 1425.11043
Qi, Feng
2019
Refinements, generalizations, and applications of Jordan’s inequality and related problems. Zbl 1175.26048
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2009
The best bounds in Wallis’ inequality. Zbl 1049.05006
Chen, Chao-Ping; Qi, Feng
2005
Logarithmically completely monotonic functions relating to the gamma function. Zbl 1099.33002
Chen, Chao-Ping; Qi, Feng
2006
Some identities and an explicit formula for Bernoulli and Stirling numbers. Zbl 1291.11051
Guo, Bai-Ni; Qi, Feng
2014
Two new proofs of the complete monotonicity of a function involving the psi function. Zbl 1183.33002
Guo, Bai-Ni; Qi, Feng
2010
Three classes of logarithmically completely monotonic functions involving gamma and psi functions. Zbl 1144.26013
Qi, Feng
2007
Some properties of functions related to the gamma and psi functions. Zbl 1188.33003
Chen, Chao-Ping; Qi, Feng; Srivastava, H. M.
2010
Some integral inequalities of simpson type for GA-$$\varepsilon$$-convex functions. Zbl 1284.26012
Qi, Feng; Xi, Bo-Yan
2013
Derivatives of tangent function and tangent numbers. Zbl 1410.11018
Qi, Feng
2015
Bounds for the ratio of two gamma functions: from Wendel’s asymptotic relation to Elezović-Giordano-Pečarić’s theorem. Zbl 1294.33004
Qi, Feng; Luo, Qiu-Ming
2013
Some inequalities constructed by Tchebysheff’s integral inequality. Zbl 0943.26030
Qi, Feng; Cui, Li-Hong; Xu, Sen-Lin
1999
Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities. Zbl 1324.33004
Qi, Feng
2013
Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic. Zbl 1179.26036
Qi, Feng; Guo, Bai-Ni
2010
Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means. Zbl 1247.26041
Xi, Bo-Yan; Qi, Feng
2012
Hermite-Hadamard type inequalities for the $$m$$- and $$(\alpha,m)$$-logarithmically convex functions. Zbl 1340.26043
Bai, Rui-Fang; Qi, Feng; Xi, Bo-Yan
2013
Hermite-Hadamard type inequalities for the $$m$$- and $$(\alpha,m)$$-geometrically convex functions. Zbl 1264.26033
Xi, Bo-Yan; Bai, Rui-Fang; Qi, Feng
2012
Several closed expressions for the Euler numbers. Zbl 1366.11052
Wei, Chun-Fu; Qi, Feng
2015
Bounds for the ratio of two gamma functions – from Wendel’s and related inequalities to logarithmically completely monotonic functions. Zbl 1245.33004
Luo, Qiu-Ming; Qi, Feng
2012
Completely monotonic functions involving divided differences of the di- and tri-gamma functions and some applications. Zbl 1181.26024
Qi, Feng; Guo, Bai-Ni
2009
Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind. Zbl 1376.11015
Guo, Bai-Ni; Qi, Feng
2014
A class of completely monotonic functions involving divided differences of the psi and tri-gamma functions and some applications. Zbl 1270.26010
Guo, Bai-Ni; Qi, Feng
2011
Notes on the Schur-convexity of the extended mean values. Zbl 1086.26008
Qi, Feng; Sándor, József; Dragomir, Sever S.; Sofo, Anthony
2005
An explicit formula for the Bell numbers in terms of the Lah and Stirling numbers. Zbl 1419.11045
Qi, Feng
2016
Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations. Zbl 1439.11088
Qi, Feng; Lim, Dongkyu; Guo, Bai-Ni
2019
Sharp inequalities for polygamma functions. Zbl 1349.33001
Guo, Bai-Ni; Qi, Feng; Zhao, Jiao-Lian; Luo, Qiu-Ming
2015
Sharp inequalities for the psi function and harmonic numbers. Zbl 1294.33003
Guo, Bai-Ni; Qi, Feng
2014
Some bounds for the complete elliptic integrals of the first and second kinds. Zbl 1217.26042
Guo, Bai-Ni; Qi, Feng
2011
A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw’s double inequality. Zbl 1113.33004
Qi, Feng
2007
The best bounds for Toader mean in terms of the centroidal and arithmetic means. Zbl 1474.26168
Hua, Yun; Qi, Feng
2014
Some inequalities of Hermite-Hadamard type for GA-convex functions with applications to means. Zbl 1281.26024
Zhang, Tian-Yu; Ji, Ai-Ping; Qi, Feng
2013
Explicit expressions for a family of the Bell polynomials and applications. Zbl 1338.33002
Qi, Feng; Zheng, Miao-Miao
2015
Some Hermite-Hadamard type inequalities for differentiable convex functions and applications. Zbl 1292.26061
Xi, Bo-Yan; Qi, Feng
2013
Integral representations and complete monotonicity related to the remainder of Burnside’s formula for the gamma function. Zbl 1293.33002
Qi, Feng
2014
Supplements to a class of logarithmically completely monotonic functions associated with the gamma function. Zbl 1139.33300
Guo, Senlin; Qi, Feng; Srivastava, H. M.
2008
Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials. Zbl 1427.11023
Qi, Feng; Guo, Bai-Ni
2017
Some properties of the psi and polygamma functions. Zbl 1203.33002
Guo, Bai-Ni; Qi, Feng
2010
On new proofs of Wilker’s inequalities involving trigonometric functions. Zbl 1040.26006
Guo, Bai-Ni; Qiao, Bao-Min; Qi, Feng; Li, Wei
2003
Generalizations of Bernoulli numbers and polynomials. Zbl 1038.11013
Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng; Debnath, Lokenath
2003
Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function. Zbl 1360.33004
Qi, Feng; Guo, Bai-Ni
2017
Integral representations and properties of Stirling numbers of the first kind. Zbl 1336.11022
Qi, Feng
2013
Complete monotonicity of a difference between the exponential and trigamma functions and properties related to a modified Bessel function. Zbl 1280.26017
Qi, Feng; Berg, Christian
2013
Diagonal recurrence relations for the Stirling numbers of the first kind. Zbl 1360.11051
Qi, Feng
2016
Some new inequalities of the Grüss type for conformable fractional integrals. Zbl 1428.26014
Rahman, Gauhar; Sooppy Nisar, Kottakkaran; Qi, Feng
2018
A completely monotonic function involving the tri-gamma function and with degree one. Zbl 1245.26007
Guo, Bai-Ni; Qi, Feng
2012
Relationships between generalized Bernoulli numbers and polynomials and generalized Euler numbers and polynomials. Zbl 1042.11012
Luo, Qiu-Ming; Qi, Feng
2003
Two logarithmically completely monotonic functions connected with gamma function. Zbl 1093.33001
Qi, Feng; Yang, Qiao; Li, Wei
2006
The function $$(b^{x}-a^{x})/x$$: Inequalities and properties. Zbl 0904.26006
Qi, Feng; Xu, Sen-Lin
1998
Wendel’s and Gautschi’s inequalities: refinements, extensions, and a class of logarithmically completely monotonic functions. Zbl 1173.26315
Qi, Feng; Guo, Bai-Ni
2008
Hermite-Hadamard type integral inequalities for geometric-arithmetically $$s$$-convex functions. Zbl 1272.26024
Shuang, Ye; Yin, Hong-Ping; Qi, Feng
2013
Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions. Zbl 1326.33001
Qi, Feng
2015
Some properties of central Delannoy numbers. Zbl 1371.11161
Qi, Feng; Čerňanová, Viera; Shi, Xiao-Ting; Guo, Bai-Ni
2018
An integral representation, some inequalities, and complete monotonicity of the Bernoulli numbers of the second kind. Zbl 1333.11024
Qi, Feng; Zhang, Xiao-Jing
2015
Properties and applications of a function involving exponential functions. Zbl 1179.33001
Guo, Bai-Ni; Qi, Feng
2009
Generalizations of Euler numbers and polynomials. Zbl 1038.11014
Luo, Qiu-Ming; Qi, Feng; Debnath, Lokenath
2003
Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean. Zbl 1290.30043
Qi, Feng; Zhang, Xiao-Jing; Li, Wen-Hui
2014
An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind. Zbl 1300.05024
Qi, Feng
2014
Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions. Zbl 1207.26020
Guo, Bai-Ni; Qi, Feng; Srivastava, H. M.
2010
The best bounds in Gautschi-Kershaw inequalities. Zbl 1101.33001
Qi, Feng; Guo, Bai-Ni; Chen, Chao-Ping
2006
Monotonicity results and inequalities for the gamma and incomplete gamma functions. Zbl 1006.33001
Qi, Feng
2002
Some inequalities of the Hermite-Hadamard type for $$k$$-fractional conformable integrals. Zbl 1407.26022
Huang, Chuan-Jun; Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Qi, Feng
2019
Some identities for a sequence of unnamed polynomials connected with the Bell polynomials. Zbl 1429.11056
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2019
Inequalities of Hermite-Hadamard type for extended $$s$$-convex functions and applications to means. Zbl 1332.26020
Xi, Bo-Yan; Qi, Feng
2015
Completely monotonic function associated with the gamma functions and proof of Wallis’ inequality. Zbl 1092.33002
Chen, Chaoping; Qi, Feng
2005
Generalizations and refinements of Hermite-Hadamard’s inequality. Zbl 1096.26014
Qi, Feng; Wei, Zong-Li; Yang, Qiao
2005
Refinements of lower bounds for polygamma functions. Zbl 1267.33003
Guo, Bai-Ni; Qi, Feng
2013
Integral representations and properties of some functions involving the logarithmic function. Zbl 1474.30251
Qi, Feng; Li, Wen-Hui
2016
Schur-convexity of the Catalan-Qi function related to the Catalan numbers. Zbl 1420.11056
Qi, Feng; Shi, Xiao-Ting; Mahmoud, Mansour; Liu, Fang-Fang
2016
A double inequality for bounding Toader mean by the centroidal mean. Zbl 1310.26027
Hua, Yun; Qi, Feng
2014
Generalization of Bernoulli polynomials. Zbl 1021.11003
Guo, Bai-Ni; Qi, Feng
2002
Logarithmic convexity of extended mean values. Zbl 0993.26012
Qi, Feng
2002
Logarithmically completely monotonic functions concerning gamma and digamma functions. Zbl 1120.33003
Qi, Feng; Chen, Shou-Xin; Cheung, Wing-Sum
2007
Some best approximation formulas and inequalities for the Wallis ratio. Zbl 1338.33010
Qi, Feng; Mortici, Cristinel
2015
Hermite-Hadamard type inequalities for geometrically $$r$$-convex functions. Zbl 1363.26052
Xi, Bo-Yan; Qi, Feng
2014
Simpson type integral inequalities in which the power of the absolute value of the first derivative of the integrand is $$s$$-preinvex. Zbl 1488.26145
Wang, Yan; Wang, Shu-Hong; Qi, Feng
2013
Complete monotonicity of a function involving the divided difference of digamma functions. Zbl 1286.26007
Qi, Feng; Luo, Qiu-Ming; Guo, Bai-Ni
2013
An alternative note on the Schur-convexity of the extended mean values. Zbl 1104.26014
Shi, Huan-Nan; Wu, Shan-He; Qi, Feng
2006
Generalized weighted mean values with two parameters. Zbl 0935.26014
Qi, Feng
1998
A general refinement of Jordan’s inequality and a refinement of L. Yang’s inequality. Zbl 1141.26003
Niu, Da-Wei; Huo, Zhen-Hong; Cao, Jian; Qi, Feng
2008
Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers. Zbl 1360.11052
Qi, Feng; Shi, Xiao-Ting; Liu, Fang-Fang
2016
Convexity of the generalized sine function and the generalized hyperbolic sine function. Zbl 1292.33003
Jiang, Wei-Dong; Wang, Miao-Kun; Chu, Yu-Ming; Jiang, Yue-Ping; Qi, Feng
2013
Some exact constants for the approximation of the quantity in the Wallis’ formula. Zbl 1281.41010
Guo, Senlin; Xu, Jian-Guo; Qi, Feng
2013
Some inequalities of Čebyšev type for conformable $$k$$-fractional integral operators. Zbl 1423.26013
Qi, Feng; Rahman, Gauhar; Hussain, Sardar Muhammad; Du, Wei-Shih; Nisar, Kottakkaran Sooppy
2018
Integral representations of the Catalan numbers and their applications. Zbl 1402.11032
Qi, Feng; Guo, Bai-Ni
2017
Hermite-Hadamard type inequalities for extended $$s$$-convex functions on the co-ordinates in a rectangle. Zbl 1296.26105
Xi, Bo-Yan; Hua, Jü; Qi, Feng
2014
Refinements and extensions of an inequality. II. Zbl 0932.26010
Qi, Feng; Xu, Senlin
1997
A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw’s double inequality. Zbl 1145.33001
Qi, Feng; Guo, Bai-Ni
2008
A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums. Zbl 1131.33002
Qi, Feng
2007
A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw’s inequality. Zbl 1160.33001
Qi, Feng
2009
Complete monotonicity of the logarithmic mean. Zbl 1175.26024
Qi, Feng; Chen, Shouxin
2007
A completely monotonic function involving the tri- and tetra-gamma functions. Zbl 1349.26024
Guo, Bai-Ni; Zhao, Jiao-Lian; Qi, Feng
2013
On the degree of the weighted geometric mean as a complete Bernstein function. Zbl 1329.26054
Guo, Bai-Ni; Qi, Feng
2015
Decreasing properties of two ratios defined by three and four polygamma functions. Zbl 07468769
Qi, Feng
2022
Increasing property and logarithmic convexity of two functions involving Dirichlet eta function. Zbl 07565731
Lim, Dongkyu; Qi, Feng
2022
From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. Zbl 1451.33002
Qi, Feng; Guo, Bai-Ni
2021
Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios. Zbl 1476.11060
Shuang, Ye; Guo, Bai-Ni; Qi, Feng
2021
Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic. Zbl 1483.33001
Qi, Feng
2021
Lower bound of sectional curvature of Fisher-Rao manifold of beta distributions and complete monotonicity of functions involving polygamma functions. Zbl 1491.44002
Qi, Feng
2021
A ratio of finitely many gamma functions and its properties with applications. Zbl 1466.26009
Qi, Feng; Li, Wen-Hui; Yu, Shu-Bin; Du, Xin-Yu; Guo, Bai-Ni
2021
Simplifying coefficients in differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials. Zbl 1474.34004
Qi, Feng
2021
Viewing some ordinary differential equations from the angle of derivative polynomials. Zbl 07426499
Guo, Bai-Ni; Qi, Feng
2021
A determinantal expression and a recursive relation of the Delannoy numbers. Zbl 07482602
Qi, Feng
2021
Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function. Zbl 07498588
Qi, Feng
2021
Some inequalities of the Grüss type for conformable $$k$$-fractional integral operators. Zbl 1434.26065
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Qi, Feng
2020
Special values of the Bell polynomials of the second kind for some sequences and functions. Zbl 1444.11040
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Yao, Yong-Hong
2020
Closed formulas and identities on the Bell polynomials and falling factorials. Zbl 1471.11102
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
2020
Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold. Zbl 1453.33003
Qi, Feng
2020
Some inequalities and an application of exponential polynomials. Zbl 1468.11075
Qi, Feng
2020
Recurrences of Stirling and Lah numbers via second kind Bell polynomial. Zbl 1463.11058
Qi, Feng; Natalini, Pierpaolo; Ricci, Paolo Emilio
2020
Computation of several Hessenberg determinants. Zbl 1469.15009
Qi, Feng; Kouba, Omran; Kaddoura, Issam
2020
Some logarithmically completely monotonic functions and inequalities for multinomial coefficients. Zbl 07472194
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
2020
Approximation by multivariate Baskakov-Kantorovich operators in Orlicz spaces. Zbl 1448.41020
Han, Ling-Xiong; Li, Wen-Hui; Qi, Feng
2020
Some properties and an application of multivariate exponential polynomials. Zbl 1471.11113
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni
2020
Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. Zbl 1448.33004
Qi, Feng; Huang, Chuan-Jun
2020
Monotonicity and sharp inequalities related to complete $$(p,q)$$-elliptic integrals of the first kind. Zbl 1455.33012
Wang, Fei; Qi, Feng
2020
Closed formulas for special Bell polynomials by Stirling numbers and associate Stirling numbers. Zbl 07476478
Qi, Feng; Lim, Dongkyu
2020
Monotonicity properties for a ratio of finite many gamma functions. Zbl 1482.33001
Qi, Feng; Lim, Dongkyu
2020
Several explicit and recursive formulas for generalized Motzkin numbers. Zbl 1484.05017
Qi, Feng; Guo, Bai-Ni
2020
A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers. Zbl 1425.11043
Qi, Feng
2019
Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations. Zbl 1439.11088
Qi, Feng; Lim, Dongkyu; Guo, Bai-Ni
2019
Some inequalities of the Hermite-Hadamard type for $$k$$-fractional conformable integrals. Zbl 1407.26022
Huang, Chuan-Jun; Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Qi, Feng
2019
Some identities for a sequence of unnamed polynomials connected with the Bell polynomials. Zbl 1429.11056
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2019
Completely monotonic degrees for a difference between the logarithmic and psi functions. Zbl 1482.26016
Qi, Feng; Liu, Ai-Qi
2019
Notes on two kinds of special values for the Bell polynomials of the second kind. Zbl 1438.11060
Qi, Feng; Lim, Dongkyu; Yao, Yong-Hong
2019
On complete monotonicity for several classes of functions related to ratios of gamma functions. Zbl 07459064
Qi, Feng; Agarwal, Ravi P.
2019
Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind. Zbl 1429.34025
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2019
Explicit expressions related to degenerate Cauchy numbers and their generating function. Zbl 1429.11045
Qi, Feng; Liu, Ai-Qi; Lim, Dongkyu
2019
Monotonicity properties and inequalities related to generalized Grötzsch ring functions. Zbl 1427.33012
Wang, Fei; He, Jian-Hui; Yin, Li; Qi, Feng
2019
Some fractional differential equations involving generalized hypergeometric functions. Zbl 1423.26010
Agarwal, Praveen; Qi, Feng; Chand, Mehar; Singh, Gurmej
2019
RETRACTED ARTICLE: A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant. Zbl 1423.11035
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2019
Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag-Leffler polynomials. Zbl 1460.34008
Qi, Feng
2019
On complete monotonicity of linear combination of finite psi functions. Zbl 1429.33005
Guo, Bai-Ni; Qi, Feng
2019
Some inequalities of the Turán type for confluent hypergeometric functions of the second kind. Zbl 1438.26088
Qi, Feng; Bhukya, Ravi; Akavaram, Venkatalakshmi
2019
Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds. Zbl 1449.11045
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu
2019
Generalized fractional integral inequalities of Hermite-Hadamard type for $$(\alpha,m)$$-convex functions. Zbl 07459163
Qi, Feng; Mohammed, Pshtiwan Othman; Yao, Jen-Chih; Yao, Yong-Hong
2019
Generalized $$k$$-fractional conformable integrals and related inequalities. Zbl 1484.26007
Qi, Feng; Habib, Siddra; Mubeen, Shahid; Naeem, Muhammad Nawaz
2019
The inverse of a triangular matrix and several identities of the Catalan numbers. Zbl 07564562
Qi, Feng; Zou, Qing; Guo, Bai-Ni
2019
Some new inequalities of the Grüss type for conformable fractional integrals. Zbl 1428.26014
Rahman, Gauhar; Sooppy Nisar, Kottakkaran; Qi, Feng
2018
Some properties of central Delannoy numbers. Zbl 1371.11161
Qi, Feng; Čerňanová, Viera; Shi, Xiao-Ting; Guo, Bai-Ni
2018
Some inequalities of Čebyšev type for conformable $$k$$-fractional integral operators. Zbl 1423.26013
Qi, Feng; Rahman, Gauhar; Hussain, Sardar Muhammad; Du, Wei-Shih; Nisar, Kottakkaran Sooppy
2018
Integral representations for multivariate logarithmic polynomials. Zbl 1400.11078
Qi, Feng
2018
Lévy-Khintchine representation of Toader-Qi mean. Zbl 1384.44002
Qi, Feng; Guo, Bai-Ni
2018
On multivariate logarithmic polynomials and their properties. Zbl 1415.11056
Qi, Feng
2018
Closed forms for derangement numbers in terms of the Hessenberg determinants. Zbl 1401.05017
Qi, Feng; Zhao, Jiao-Lian; Guo, Bai-Ni
2018
Simplifying differential equations concerning degenerate Bernoulli and Euler numbers. Zbl 1391.34028
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2018
Integral representations of bivariate complex geometric mean and their applications. Zbl 1375.26045
Qi, Feng; Lim, Dongkyu
2018
Some properties of the Bernoulli numbers of the second kind and their generating function. Zbl 1406.11017
Qi, Feng; Zhao, Jiao-Lian
2018
Simplifying coefficients in a family of nonlinear ordinary differential equations. Zbl 1437.11038
Qi, Feng
2018
Alternative proofs of some formulas for two tridiagonal determinants. Zbl 07042987
Qi, Feng; Liu, Ai-Qi
2018
The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function. Zbl 1400.30046
Qi, Feng; Guo, Bai-Ni
2018
Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials. Zbl 1408.33023
Qi, Feng
2018
Simplifying and finding ordinary differential equations in terms of the Stirling numbers. Zbl 1440.11012
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2018
An improper integral, the beta function, the Wallis ratio, and the Catalan numbers. Zbl 1440.11023
Qi, Feng
2018
Simplification of coefficients in differential equations associated with higher order Frobenius-Euler numbers. Zbl 07031663
Qi, Feng; Niu, Da-Wei; Guo, Bai-Ni
2018
Integral inequalities of Hermite-Hadamard type for extended $$s$$-convex functions and applications. Zbl 1404.26025
Shuang, Ye; Qi, Feng
2018
Some properties of the Fuss-Catalan numbers. Zbl 1425.05018
Qi, Feng; Cerone, Pietro
2018
The reciprocal of the weighted geometric mean is a Stieltjes function. Zbl 1390.30048
Qi, Feng; Guo, Bai-Ni
2018
A diagonal recurrence relation for the Stirling numbers of the first kind. Zbl 1488.11060
Qi, Feng; Guo, Bai-Ni
2018
A representation for derangement numbers in terms of a tridiagonal determinant. Zbl 1488.11070
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni
2018
Several series identities involving the Catalan numbers. Zbl 1441.11045
Yin, Li; Qi, Feng
2018
On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function. Zbl 1439.11087
Qi, Feng; Guo, Bai-Ni
2018
Integral representations of the large and little Schröder numbers. Zbl 1398.05031
Qi, Feng; Shi, Xiao-Ting; Guo, Bai-Ni
2018
Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric $$k$$-function. Zbl 07445851
2018
Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body. Zbl 1393.33002
Qi, Feng; Mortici, Cristinel; Guo, Bai-Ni
2018
An integral representation, complete monotonicity, and inequalities of the Catalan numbers. Zbl 07437539
Qi, Feng; Shi, Xiao-Ting; Liu, Fang-Fang
2018
Some integral inequalities of Hermite-Hadamard type for $$s$$-geometrically convex functions. Zbl 1463.26076
Yin, Hong-Ping; Wang, Jing-Yu; Qi, Feng
2018
Some identities related to Eulerian polynomials and involving the Stirling numbers. Zbl 1488.11061
Qi, Feng; Lim, Dongkyu; Guo, Bai-Ni
2018
Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials. Zbl 1427.11023
Qi, Feng; Guo, Bai-Ni
2017
Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function. Zbl 1360.33004
Qi, Feng; Guo, Bai-Ni
2017
Integral representations of the Catalan numbers and their applications. Zbl 1402.11032
Qi, Feng; Guo, Bai-Ni
2017
Explicit formulas and recurrence relations for higher order Eulerian polynomials. Zbl 1377.11030
Qi, Feng; Guo, Bai-Ni
2017
Parametric integrals, the Catalan numbers, and the beta function. Zbl 1440.11022
Qi, Feng
2017
Some inequalities for the Bell numbers. Zbl 1420.11052
Qi, Feng
2017
Expansions of the exponential and the logarithm of power series and applications. Zbl 1373.30003
Qi, Feng; Shi, Xiao-Ting; Liu, Fang-Fang
2017
Expressing the generalized Fibonacci polynomials in terms of a tridiagonal determinant. Zbl 1432.11014
Qi, Feng; Guo, Bai-Ni
2017
Several formulas for special values of the Bell polynomials of the second kind and applications. Zbl 1474.05006
Qi, Feng; Shi, Xiaoting; Liu, Fangfang; Kruchinin, Dmitry V.
2017
Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers. Zbl 1412.11049
Zhao, Jiao-Lian; Wang, Jing-Lin; Qi, Feng
2017
Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials. Zbl 1351.33008
Agarwal, Praveen; Qi, Feng; Chand, Mehar; Jain, Shilpi
2017
A closed form for the Stirling polynomials in terms of the Stirling numbers. Zbl 1432.11025
Qi, Feng; Guo, Bai-Ni
2017
The harmonic and geometric means are Bernstein functions. Zbl 1381.26031
Qi, Feng; Zhang, Xiao-Jing; Li, Wen-Hui
2017
A double inequality for an integral mean in terms of the exponential and logarithmic means. Zbl 1413.26061
Qi, Feng; Shi, Xiao-Ting; Liu, Fang-Fang; Yang, Zhen-Hang
2017
Some explicit and recursive formulas of the large and little Schröder numbers. Zbl 1413.11135
Qi, Feng; Guo, Bai-Ni
2017
Two explicit formulas for the generalized Motzkin numbers. Zbl 1358.05018
Zhao, Jiao-Lian; Qi, Feng
2017
Two nice determinantal expressions and a recurrence relation for the Apostol-Bernoulli polynomials. Zbl 1460.11028
Qi, Feng; Guo, Bai-Ni
2017
Explicit and recursive formulas, integral representations, and properties of the large Schröder numbers. Zbl 1488.11069
Qi, Feng; Guo, Bai-Ni
2017
Hermite-Hadamard type inequalities for $$(\alpha,m)$$-HA and strongly $$(\alpha,m)$$-HA convex functions. Zbl 1412.26013
He, Chun-Ying; Wang, Yan; Xi, Bo-Yan; Qi, Feng
2017
The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform. Zbl 1360.30029
Qi, Feng; Guo, Bai-Ni
2017
On solutions of fractional kinetic equations involving the generalized $$k$$-Bessel function. Zbl 1393.34017
Nisar, Kottakkaran Sooppy; Qi, Feng
2017
Bounding the gamma function in terms of the trigonometric and exponential functions. Zbl 1399.33002
Qi, Feng; Mahmoud, Mansour
2017
Bounding the difference and ratio between the weighted arithmetic and geometric means. Zbl 1378.26028
Qi, Feng
2017
An explicit formula for derivative polynomials of the tangent function. Zbl 1390.26005
Qi, Feng; Guo, Bai-Ni
2017
On an analogue of Euler polynomials and related to extended fermionic $$p$$-adic integrals on $$\mathbb{Z}_{p}$$. Zbl 1391.11039
Qi, Feng; Araci, Serkan; Acikgoz, Mehmet
2017
...and 317 more Documents
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Cited by 955 Authors

 223 Qi, Feng 99 Chu, Yuming 90 Guo, Bai-Ni 64 Yang, Zhenhang 33 Chen, Chaoping 33 Kashuri, Artion 31 Zhu, Ling 30 Srivastava, Hari Mohan 25 Sooppy Nisar, Kottakkaran 25 Tian, Jingfeng 22 Liko, Rozana 22 Qian, Weimao 22 Rahman, Gauhar 21 Zhao, Tiehong 19 Du, Tingsong 19 Guo, Senlin 18 Noor, Muhammad Aslam 18 Yin, Li 17 Wang, Miaokun 17 Xi, Boyan 16 Dragomir, Sever Silvestru 16 Kim, Taekyun 15 Budak, Hüseyin 15 Lim, Dongkyu 14 Awan, Muhammad Uzair 14 Mortici, Cristinel 14 Noor, Khalida Inayat 14 Sarikaya, Mehmet Zeki 13 Choi, Junesang 13 Kim, Dae San 12 Abdeljawad, Thabet 12 Simsek, Yilmaz 12 Wu, Shanhe 11 İşcan, İmdat 11 Zhang, Wen 10 Batir, Necdet 10 Latif, Muhammad Amer 10 Luo, Qiuming 10 Malešević, Branko J. 10 Niu, Dawei 9 Pogány, Tibor K. 9 Zhang, Xiaohui 9 Zheng, Shenzhou 8 Ali, Muhammad Aamir 8 Araci, Serkan 8 Lin, Xiuli 8 Long, Boyong 8 Rashid, Saima 8 Shi, Huannan 8 Shi, Xiaoting 7 Agarwal, Praveen 7 Huang, Liguo 7 Khan, Nabiullah U. 7 Kwon, Hyuck In 7 Lampret, Vito 7 Li, Wenhui 7 Luo, Chunyan 7 Mehrez, Khaled 7 Paris, Richard Bruce 7 Pečarić, Josip 7 Qiu, Songliang 7 Wang, Jing-Lin 7 Wang, Shuhong 7 You, Xu 7 Zhao, Jiaolian 6 Acikgoz, Mehmet 6 Akdemir, Ahmet Ocak 6 Bagul, Yogesh J. 6 Băleanu, Dumitru I. 6 Cerone, Pietro 6 Chen, Xiaodiao 6 Corcino, Roberto Bagsarsa 6 Jang, Lee-Chae 6 Jiang, Yueping 6 Karp, Dmitriĭ Borisovich 6 Khan, Aftab 6 Khan, Waseem Ahmad 6 Mahmoud, Mansour 6 Natalini, Pierpaolo 6 Samraiz, Muhammad 6 Song, Yingqing 5 Adell, José Antonio 5 Bercu, Gabriel 5 Berg, Christian 5 Butt, Saad Ihsan 5 Chesneau, Christophe 5 Kucukoglu, Irem 5 Lekuona, Alberto 5 Liu, Fangfang 5 Mohammed, Pshtiwan Othman 5 Mubeen, Shahid 5 Ricci, Paolo Emilio 5 Shuang, Ye 5 Sun, Mingbao 5 Usman, Talha 5 Wang, Jinrong 5 Xia, Weifeng 5 Xu, Aimin 4 Agarwal, Ravi P. 4 Anastassiou, George Angelos ...and 855 more Authors
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Cited in 202 Serials

 159 Journal of Inequalities and Applications 50 Applied Mathematics and Computation 49 Journal of Mathematical Analysis and Applications 46 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 45 Advances in Difference Equations 31 AIMS Mathematics 26 Integral Transforms and Special Functions 23 Journal of Mathematical Inequalities 22 Journal of Function Spaces 21 Journal of Computational and Applied Mathematics 18 Filomat 18 Abstract and Applied Analysis 17 Mathematical Inequalities & Applications 16 Results in Mathematics 13 Computers & Mathematics with Applications 13 Journal of Nonlinear Science and Applications 13 Acta Universitatis Sapientiae. Mathematica 12 Applicable Analysis and Discrete Mathematics 12 Tbilisi Mathematical Journal 10 Mediterranean Journal of Mathematics 10 Problemy Analiza. Issues of Analysis 10 Cogent Mathematics 9 International Journal of Mathematics and Mathematical Sciences 9 Journal of Number Theory 9 Mathematica Slovaca 9 Proceedings of the American Mathematical Society 9 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 9 Journal of Mathematics 9 Open Mathematics 8 Rocky Mountain Journal of Mathematics 8 Turkish Journal of Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Applied Mathematics Letters 7 Mathematical and Computer Modelling 7 Georgian Mathematical Journal 7 Analysis (München) 7 Integers 7 Mathematics 6 Aequationes Mathematicae 6 Mathematical Problems in Engineering 6 The Ramanujan Journal 6 Journal of Applied Mathematics 6 Hacettepe Journal of Mathematics and Statistics 5 Indian Journal of Pure & Applied Mathematics 5 Ukrainian Mathematical Journal 5 Journal of Approximation Theory 5 Communications of the Korean Mathematical Society 5 Kragujevac Journal of Mathematics 5 Proyecciones 5 Symmetry 5 Afrika Matematika 4 Periodica Mathematica Hungarica 4 Publications de l’Institut Mathématique. Nouvelle Série 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Applied Mathematics. Series B (English Edition) 4 Fractals 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Journal of Applied Analysis 4 Journal of Integer Sequences 4 Acta et Commentationes Universitatis Tartuensis de Mathematica 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Computational Methods and Function Theory 4 Journal of Classical Analysis 4 International Journal of Analysis and Applications 4 Journal of Applied Mathematics, Statistics and Informatics 4 Transactions of A. Razmadze Mathematical Institute 3 Analysis Mathematica 3 Bulletin of the Australian Mathematical Society 3 International Journal of Mathematical Education in Science and Technology 3 Demonstratio Mathematica 3 Fasciculi Mathematici 3 Statistics & Probability Letters 3 Bulletin of the Iranian Mathematical Society 3 The Journal of Analysis 3 Journal of Mathematical Sciences (New York) 3 Journal of the Egyptian Mathematical Society 3 Bernoulli 3 Applied Mathematics E-Notes 3 Journal of Function Spaces and Applications 3 The Australian Journal of Mathematical Analysis and Applications 3 Cubo 3 European Journal of Pure and Applied Mathematics 3 Asian-European Journal of Mathematics 3 Science China. Mathematics 3 Journal of Applied Analysis and Computation 3 Palestine Journal of Mathematics 3 2 Discrete Mathematics 2 Mathematical Notes 2 Mathematics of Computation 2 Mathematische Nachrichten 2 Quaestiones Mathematicae 2 Advances in Applied Mathematics 2 Bulletin of the Korean Mathematical Society 2 Statistics 2 Constructive Approximation 2 Numerical Algorithms 2 Communications in Statistics. Theory and Methods 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series ...and 102 more Serials
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Cited in 44 Fields

 764 Real functions (26-XX) 451 Special functions (33-XX) 251 Number theory (11-XX) 118 Combinatorics (05-XX) 86 Approximations and expansions (41-XX) 48 Integral transforms, operational calculus (44-XX) 36 Functions of a complex variable (30-XX) 36 Numerical analysis (65-XX) 33 Probability theory and stochastic processes (60-XX) 31 Ordinary differential equations (34-XX) 29 Difference and functional equations (39-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Sequences, series, summability (40-XX) 20 Statistics (62-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 13 Measure and integration (28-XX) 11 Partial differential equations (35-XX) 8 Operations research, mathematical programming (90-XX) 7 Integral equations (45-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Convex and discrete geometry (52-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Computer science (68-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Information and communication theory, circuits (94-XX) 3 Mechanics of particles and systems (70-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX)