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## Mortici, Cristinel

Compute Distance To:
 Author ID: mortici.cristinel Published as: Mortici, Cristinel; Mortici, C. External Links: ORCID
 Documents Indexed: 207 Publications since 1997, including 5 Books Reviewing Activity: 205 Reviews
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#### Co-Authors

 143 single-authored 10 Chen, Chaoping 5 Hu, Yue 5 Monea, Mihai 5 Vernescu, Andrei D. 4 Dumitrescu, Sorinel 4 Marinescu, Dan Ştefan 4 Qi, Feng 4 Sburlan, Silviu-Florin 3 Cristea, Valentin Gabriel 3 Jung, Soon-Mo 3 Lu, Dawei 3 Malešević, Branko J. 3 Pohoaţă, Alin 3 Rassias, Michael Th. 2 Andreescu, Titu 2 Lutovac, Tatjana 2 Srivastava, Hari Mohan 2 Tetiva, Marian 1 Acu, Dumitru 1 Barbu, Luminiţa 1 Berinde, Vasile 1 Brânzei, Dan 1 Debnath, Lokenath 1 Guo, Bai-Ni 1 Jang, X.-J. 1 Lungu, Emil 1 Miculescu, Radu 1 Mihai, Doina-Constanta 1 Nenezić, Marija 1 Oancea, Ingrid 1 Rašajski, Marija 1 Rassias, Themistocles Michael 1 Song, Lixin 1 Villarino, Mark B. 1 Zhu, Ling
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#### Serials

 16 Applied Mathematics and Computation 9 Carpathian Journal of Mathematics 8 Creative Mathematics and Informatics 8 Journal of Science and Arts 7 Computers & Mathematics with Applications 7 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 5 International Journal of Mathematical Education in Science and Technology 5 Journal of Number Theory 5 Applied Mathematics Letters 5 Mathematical and Computer Modelling 5 Computational and Applied Mathematics 4 Results in Mathematics 4 Studia Universitatis Babeş-Bolyai. Mathematica 4 The Ramanujan Journal 4 Journal of Inequalities and Applications 4 Scientific Studies and Research. Series Mathematics and Informatics 3 American Mathematical Monthly 3 General Mathematics 3 Analele Universităţii din Craiova. Seria Matematică Informatică 3 Mathematical Communications 3 Buletinul Ştiinţific al Universităţii Politehnica din Timişoara. Seria Matematică-Fizică 3 Mathematical Inequalities & Applications 3 Journal of Computational Analysis and Applications 3 Mathematical Reports 3 Acta Universitatis Apulensis. Mathematics - Informatics 3 Journal of Advanced Mathematical Studies 2 Czechoslovak Mathematical Journal 2 Numerical Algorithms 2 Buletinul Ştiinţific al Universităţii Baia Mare. Seria B 2 Integral Transforms and Special Functions 2 Analele Universităţii din Timişoara. Seria Matematică-Informatică 2 Buletinul Ştiinţific al Universităţii din Baia Mare. Seria B. Fascicola Matematică - Informatică 2 Forum Geometricorum 2 International Journal of Pure and Applied Mathematics 2 Hacettepe Journal of Mathematics and Statistics 2 Thai Journal of Mathematics 2 Miskolc Mathematical Notes 2 Analele Universităţii de Vest din Timişoara. Seria Matematică-Informatică 2 Bulletin of Mathematical Analysis and Applications 2 Annals of the Academy of Romanian Scientists. Mathematics and its Applications 2 Bulletin of the Transilvania University of Braşov. Series III. Mathematics, Informatics, Physics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Analele Universității București. Matematică 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 The Fibonacci Quarterly 1 Le Matematiche 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Tamkang Journal of Mathematics 1 Libertas Mathematica 1 Facta Universitatis. Series Mathematics and Informatics 1 Mathematica Balkanica. New Series 1 Asymptotic Analysis 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Mathematica 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Filomat 1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 1 East Journal on Approximations 1 Notes on Number Theory and Discrete Mathematics 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Abstract and Applied Analysis 1 Analele Universităţii din Oradea. Fascicola Matematică 1 Studii şi Cercetări Ştiinţifice. Seria: Matematică 1 The ANZIAM Journal 1 Applied Mathematics E-Notes 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Selçuk Journal of Applied Mathematics 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Gazeta Matematică. Revistă de Cultură Matematică 1 Monografii Matematice (Timişoara) 1 Optimization Letters 1 Journal of Mathematical Inequalities 1 The College Mathematics Journal 1 Journal of Inequalities and Special Functions 1 Libertas Mathematica. New Series 1 Contemporary Analysis and Applied Mathematics
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#### Fields

 91 Special functions (33-XX) 80 Real functions (26-XX) 54 Approximations and expansions (41-XX) 38 Sequences, series, summability (40-XX) 32 Number theory (11-XX) 28 Operator theory (47-XX) 22 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 10 Mathematics education (97-XX) 9 Functions of a complex variable (30-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 6 Difference and functional equations (39-XX) 4 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

118 Publications have been cited 1,444 times in 407 Documents Cited by Year
Product approximations via asymptotic integration. Zbl 1214.40002
Mortici, Cristinel
2010
A continued fraction approximation of the gamma function. Zbl 1333.40001
Mortici, Cristinel
2013
A new Stirling series as continued fraction. Zbl 1213.33007
Mortici, Cristinel
2011
On new sequences converging towards the Euler-Mascheroni constant. Zbl 1193.33003
Mortici, Cristinel
2010
Very accurate estimates of the polygamma functions. Zbl 1204.33003
Mortici, Cristinel
2010
An ultimate extremely accurate formula for approximation of the factorial function. Zbl 1186.40004
Mortici, Cristinel
2009
New approximations of the gamma function in terms of the digamma function. Zbl 1183.33003
Mortici, Cristinel
2010
New improvements of the Stirling formula. Zbl 1202.33004
Mortici, Cristinel
2010
The natural approach of Wilker-Cusa-Huygens inequalities. Zbl 1222.26020
Mortici, Cristinel
2011
A quicker convergence toward the $$\gamma$$ constant with the logarithm term involving the constant $$e$$. Zbl 1212.33001
Mortici, Cristinel
2010
Sharp inequalities related to Gosper’s formula. Zbl 1186.33004
Mortici, Cristinel
2010
Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047
Mortici, Cristinel
2010
Best estimates of the generalized Stirling formula. Zbl 1186.33003
Mortici, Cristinel
2010
Improved asymptotic formulas for the gamma function. Zbl 1222.33003
Mortici, Cristinel
2011
Improved convergence towards generalized Euler-Mascheroni constant. Zbl 1186.11076
Mortici, Cristinel
2010
Ramanujan formula for the generalized Stirling approximation. Zbl 1211.40005
Mortici, Cristinel
2010
New approximation formulas for evaluating the ratio of gamma functions. Zbl 1201.33003
Mortici, Cristinel
2010
A class of integral approximations for the factorial function. Zbl 1189.33005
Mortici, Cristinel
2010
New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002
Chen, Chao-Ping; Mortici, Cristinel
2012
A new fast asymptotic series for the gamma function. Zbl 1329.33003
Mortici, Cristinel
2015
On a functional equation of trigonometric type. Zbl 1338.39041
Jung, Soon-Mo; Rassias, Michael Th.; Mortici, Cristinel
2015
On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001
Mortici, Cristinel
2011
On Gosper’s formula for the gamma function. (On Gospers formula for the gamma function.) Zbl 1232.33001
Mortici, Cristinel
2011
Monotonicity properties of the volume of the unit ball in $${\mathbb{R}^{n}}$$. Zbl 1225.33006
Mortici, Cristinel
2010
Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003
Mortici, Cristinel
2011
A subtly analysis of Wilker inequality. Zbl 1410.26024
Mortici, Cristinel
2014
Completely monotonic functions associated with gamma function and applications. Zbl 1249.33003
Mortici, C.
2009
Sharp bounds of the Landau constants. Zbl 1232.41038
Mortici, Cristinel
2011
Fast convergences towards Euler-Mascheroni constant. Zbl 1206.41019
Mortici, Cristinel
2010
The proof of Muqattash-Yahdi conjecture. Zbl 1205.33003
Mortici, Cristinel
2010
The asymptotic series of the generalized Stirling formula. Zbl 1201.33002
Mortici, Cristinel
2010
Refinements of Jordan-Stečkin and Becker-Stark inequalities. Zbl 1308.26029
Debnath, Lokenath; Mortici, Cristinel; Zhu, Ling
2015
Completely monotonic functions and inequalities associated to some ratio of gamma function. Zbl 1334.33010
Mortici, Cristinel; Cristea, Valentin Gabriel; Lu, Dawei
2014
Some new facts in discrete asymptotic analysis. Zbl 1156.40002
Mortici, Cristinel; Vernescu, Andrei
2007
An improvement of the convergence speed of the sequence $$(\gamma_n)_{n\geq 1}$$ converging to Euler’s constant. Zbl 1306.40001
Mortici, Cristinel; Vernescu, Andrei
2005
On the harmonic number expansion by Ramanujan. Zbl 1331.11119
Mortici, Cristinel; Chen, Chao-Ping
2013
New approximations of some expressions involving trigonometric functions. Zbl 1410.26025
Nenezić, Marija; Malešević, Branko; Mortici, Cristinel
2016
The natural algorithmic approach of mixed trigonometric-polynomial problems. Zbl 1373.42003
Lutovac, Tatjana; Malešević, Branko; Mortici, Cristinel
2017
Some best approximation formulas and inequalities for the Wallis ratio. Zbl 1338.33010
Qi, Feng; Mortici, Cristinel
2015
On the gamma function approximation by Burnside. Zbl 1254.30049
Mortici, Cristinel
2011
Approximating the constants of Glaisher-Kinkelin type. Zbl 1319.11096
Mortici, Cristinel
2013
Estimating the Somos’ quadratic recurrence constant. Zbl 1208.40002
Mortici, Cristinel
2010
Asymptotic expansions of the generalized Stirling approximations. Zbl 1205.33028
Mortici, Cristinel
2010
On the stability of a functional equation associated with the Fibonacci numbers. Zbl 07022596
Mortici, Cristinel; Rassias, Michael Th.; Jung, Soon-Mo
2014
Estimates for the arctangent function related to Shafer’s inequality. Zbl 1305.26010
Mortici, Cristinel; Srivastava, H. M.
2014
Sharp inequalities and complete monotonicity for the Wallis ratio. Zbl 1209.26026
Mortici, Cristinel
2010
On the Ramanujan-Lodge harmonic number expansion. Zbl 1328.41008
Mortici, Cristinel; Villarino, Mark B.
2015
Completely monotone functions and the Wallis ratio. Zbl 1242.33005
Mortici, Cristinel
2012
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. Zbl 1445.26015
Malešević, Branko; Lutovac, Tatjana; Rašajski, Marija; Mortici, Cristinel
2018
A new method for establishing and proving accurate bounds for the Wallis ratio. Zbl 1206.33006
Mortici, Cristinel
2010
Estimating gamma function by digamma function. Zbl 1202.33005
Mortici, Cristinel
2010
Some new quicker approximations of Glaisher-Kinkelin’s and Bendersky-Adamchik’s constants. Zbl 1319.11095
Lu, Dawei; Mortici, Cristinel
2014
New sharp inequalities for approximating the factorial function and the digamma function. Zbl 1224.30179
Mortici, Cristinel
2010
Asymptotic formulas and inequalities for the gamma function in terms of the tri-gamma function. Zbl 1316.26032
Mortici, Cristinel; Qi, Feng
2015
Refinements of Gurland’s formula for pi. Zbl 1231.33002
Mortici, Cristinel
2011
The inhomogeneous Euler equation and its Hyers-Ulam stability. Zbl 1322.34019
Mortici, Cristinel; Rassias, Themistocles M.; Jung, Soon-Mo
2015
On some convergences to the constant $$e$$ and improvements of Carleman’s inequality. Zbl 1349.26062
Mortici, Cristinel; Yue, Hu
2015
A coincidence degree for bifurcation problems. Zbl 1028.47046
Mortici, Cristinel; Sburlan, Silviu
2003
On the monotonicity and convexity of the remainder of the Stirling formula. Zbl 1216.33008
Mortici, Cristinel
2011
Estimates of $$(1+x)^{1/x}$$ involved in Carleman’s inequality and Keller’s limit. Zbl 06749121
Mortici, Cristinel; Jang, X.-J.
2015
New bounds for a convergence by DeTemple. Zbl 1229.40005
Mortici, Cristinel
2010
Accurate estimates of the gamma function involving the PSI function. Zbl 1226.33001
Mortici, Cristinel
2011
Estimating the digamma and trigamma functions by completely monotonicity arguments. Zbl 1207.33002
Mortici, Cristinel
2010
The stability of some points arising from continuous, differential and integral expressions. Zbl 1341.39015
Mortici, Cristinel; Monea, Mihai; Marinescu, Dan Ştefan
2016
Estimates of the function and quotient by Minc-Sathre. Zbl 1338.33008
Mortici, Cristinel
2015
A substantial improvement of the Stirling formula. Zbl 1216.33009
Mortici, Cristinel
2011
An improvement of the Ramanujan formula for approximation of the Euler gamma function. Zbl 1289.33002
Mortici, Cristinel
2012
Estimating $$\pi$$ from the Wallis sequence. Zbl 1261.40002
Mortici, Cristinel
2012
On the generalized Stirling formula. Zbl 1212.40008
Mortici, Cristinel
2010
A new refinement of the Radon inequality. Zbl 1244.26046
Mortici, Cristinel
2011
Sharpness of Muqattash-Yahdi problem. Zbl 1247.33004
Chen, Chao-Ping; Mortici, Cristinel
2012
Accurate approximations of the Mathieu series. Zbl 1217.33014
Mortici, Cristinel
2011
On some Euler-Mascheroni type sequences. Zbl 1205.40006
Mortici, Cristinel
2010
Sharp inequalities related to the constant $$e$$. Zbl 1310.26003
Hu, Yue; Mortici, Cristinel
2014
Turán-type inequalities for the gamma and polygamma functions. Zbl 1265.26050
Mortici, Cristinel
2010
The quotient of gamma functions by the psi function. Zbl 1247.33007
Mortici, Cristinel
2011
Efficient approximations of the gamma function and further properties. Zbl 1359.33002
Mortici, Cristinel; Dumitrescu, Sorinel
2017
Methods and algorithms for approximating the gamma functions and related functions. A survey. I: Asymptotic series. Zbl 1305.33004
Mortici, Cristinel
2014
Optimizing the convergence rate of the Wallis sequence. Zbl 1320.33003
Mortici, Cristinel
2015
Gamma function by $$x^{x-1}$$. Zbl 1289.33003
Mortici, Cristinel
2013
New sharp estimates of the generalized Euler-Mascheroni constant. Zbl 1259.33004
Berinde, Vasile; Mortici, Cristinel
2013
Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002
Chen, Chao-Ping; Mortici, Cristinel
2013
A product approximation of the gamma function. Zbl 1320.33004
Mortici, Cristinel; Srivastava, Hari M.
2015
An extension of the Szász-Mirakjan operators. Zbl 1249.41061
Mortici, C.
2009
The best rational remainders in the Stirling formula. Zbl 1243.40005
Mortici, Cristinel
2012
Refinements of some bounds related to the constant $$e$$. Zbl 1240.33002
Mortici, Cristinel
2011
The method of the variation of constants for Riccati equations. Zbl 1240.34005
Mortici, Cristinel
2008
Some completely monotonic functions relating to the gamma function. Zbl 1254.30048
Mortici, Cristinel
2012
On a sum of the psi function with a logarithm. Zbl 1264.33005
Mortici, Cristinel
2011
On the sequence related to the irrationality of $$e$$. Zbl 1315.26029
Mortici, Cristinel
2012
Approximation methods for solving the Cauchy problem. Zbl 1081.34009
Mortici, Cristinel
2005
Sharp form of inequality for the constant $$e$$. Zbl 1249.11114
Chen, Chao-Ping; Mortici, Cristinel
2011
Arithmetic mean of values and value at mean of arguments for convex functions. Zbl 1175.26045
Mortici, Cristinel
2008
A lower bound for a quotient of roots of factorials. Zbl 1213.33006
Mortici, Cristinel
2009
A sharp inequality involving the psi function. Zbl 1212.33002
Mortici, Cristinel
2010
Some inequalities for the trigamma function in terms of the digamma function. Zbl 1410.33009
Qi, Feng; Mortici, Cristinel
2015
Estimates for Wallis’ ratio and related functions. Zbl 1367.33005
Mortici, Cristinel; Cristea, Valentin Gabriel
2016
Operators of monotone type and periodic solutions for some semilinear problems. Zbl 1062.47062
Mortici, Cristinel
2002
Semilinear equations in Hilbert spaces with quasi-positive nonlinearity. Zbl 1027.47044
Mortici, Cristinel
2001
On the solvability of the Cauchy problem. Zbl 1048.34500
Mortici, Cristinel
1999
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. Zbl 1445.26015
Malešević, Branko; Lutovac, Tatjana; Rašajski, Marija; Mortici, Cristinel
2018
The natural algorithmic approach of mixed trigonometric-polynomial problems. Zbl 1373.42003
Lutovac, Tatjana; Malešević, Branko; Mortici, Cristinel
2017
Efficient approximations of the gamma function and further properties. Zbl 1359.33002
Mortici, Cristinel; Dumitrescu, Sorinel
2017
New approximations of some expressions involving trigonometric functions. Zbl 1410.26025
Nenezić, Marija; Malešević, Branko; Mortici, Cristinel
2016
The stability of some points arising from continuous, differential and integral expressions. Zbl 1341.39015
Mortici, Cristinel; Monea, Mihai; Marinescu, Dan Ştefan
2016
Estimates for Wallis’ ratio and related functions. Zbl 1367.33005
Mortici, Cristinel; Cristea, Valentin Gabriel
2016
A new fast asymptotic series for the gamma function. Zbl 1329.33003
Mortici, Cristinel
2015
On a functional equation of trigonometric type. Zbl 1338.39041
Jung, Soon-Mo; Rassias, Michael Th.; Mortici, Cristinel
2015
Refinements of Jordan-Stečkin and Becker-Stark inequalities. Zbl 1308.26029
Debnath, Lokenath; Mortici, Cristinel; Zhu, Ling
2015
Some best approximation formulas and inequalities for the Wallis ratio. Zbl 1338.33010
Qi, Feng; Mortici, Cristinel
2015
On the Ramanujan-Lodge harmonic number expansion. Zbl 1328.41008
Mortici, Cristinel; Villarino, Mark B.
2015
Asymptotic formulas and inequalities for the gamma function in terms of the tri-gamma function. Zbl 1316.26032
Mortici, Cristinel; Qi, Feng
2015
The inhomogeneous Euler equation and its Hyers-Ulam stability. Zbl 1322.34019
Mortici, Cristinel; Rassias, Themistocles M.; Jung, Soon-Mo
2015
On some convergences to the constant $$e$$ and improvements of Carleman’s inequality. Zbl 1349.26062
Mortici, Cristinel; Yue, Hu
2015
Estimates of $$(1+x)^{1/x}$$ involved in Carleman’s inequality and Keller’s limit. Zbl 06749121
Mortici, Cristinel; Jang, X.-J.
2015
Estimates of the function and quotient by Minc-Sathre. Zbl 1338.33008
Mortici, Cristinel
2015
Optimizing the convergence rate of the Wallis sequence. Zbl 1320.33003
Mortici, Cristinel
2015
A product approximation of the gamma function. Zbl 1320.33004
Mortici, Cristinel; Srivastava, Hari M.
2015
Some inequalities for the trigamma function in terms of the digamma function. Zbl 1410.33009
Qi, Feng; Mortici, Cristinel
2015
A very elementary proof of Bernoulli’s inequality. Zbl 1406.97035
Mortici, Cristinel
2015
On the growth rate of divergent series. Zbl 1302.26016
Mortici, Cristinel; Rassias, Michael T.
2015
A subtly analysis of Wilker inequality. Zbl 1410.26024
Mortici, Cristinel
2014
Completely monotonic functions and inequalities associated to some ratio of gamma function. Zbl 1334.33010
Mortici, Cristinel; Cristea, Valentin Gabriel; Lu, Dawei
2014
On the stability of a functional equation associated with the Fibonacci numbers. Zbl 07022596
Mortici, Cristinel; Rassias, Michael Th.; Jung, Soon-Mo
2014
Estimates for the arctangent function related to Shafer’s inequality. Zbl 1305.26010
Mortici, Cristinel; Srivastava, H. M.
2014
Some new quicker approximations of Glaisher-Kinkelin’s and Bendersky-Adamchik’s constants. Zbl 1319.11095
Lu, Dawei; Mortici, Cristinel
2014
Sharp inequalities related to the constant $$e$$. Zbl 1310.26003
Hu, Yue; Mortici, Cristinel
2014
Methods and algorithms for approximating the gamma functions and related functions. A survey. I: Asymptotic series. Zbl 1305.33004
Mortici, Cristinel
2014
A note on the Fermat-Torricelli point of a class of polygons. Zbl 1291.51014
Mortici, Cristinel
2014
Latter research on Euler-Mascheroni constant. Zbl 1306.11100
Cristea, Valentin Gabriel; Mortici, Cristinel
2014
A continued fraction approximation of the gamma function. Zbl 1333.40001
Mortici, Cristinel
2013
On the harmonic number expansion by Ramanujan. Zbl 1331.11119
Mortici, Cristinel; Chen, Chao-Ping
2013
Approximating the constants of Glaisher-Kinkelin type. Zbl 1319.11096
Mortici, Cristinel
2013
Gamma function by $$x^{x-1}$$. Zbl 1289.33003
Mortici, Cristinel
2013
New sharp estimates of the generalized Euler-Mascheroni constant. Zbl 1259.33004
Berinde, Vasile; Mortici, Cristinel
2013
Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002
Chen, Chao-Ping; Mortici, Cristinel
2013
New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002
Chen, Chao-Ping; Mortici, Cristinel
2012
Completely monotone functions and the Wallis ratio. Zbl 1242.33005
Mortici, Cristinel
2012
An improvement of the Ramanujan formula for approximation of the Euler gamma function. Zbl 1289.33002
Mortici, Cristinel
2012
Estimating $$\pi$$ from the Wallis sequence. Zbl 1261.40002
Mortici, Cristinel
2012
Sharpness of Muqattash-Yahdi problem. Zbl 1247.33004
Chen, Chao-Ping; Mortici, Cristinel
2012
The best rational remainders in the Stirling formula. Zbl 1243.40005
Mortici, Cristinel
2012
Some completely monotonic functions relating to the gamma function. Zbl 1254.30048
Mortici, Cristinel
2012
On the sequence related to the irrationality of $$e$$. Zbl 1315.26029
Mortici, Cristinel
2012
A power series approach to some inequalities. Zbl 1245.26013
Mortici, Cristinel
2012
Estimating the Apéry’s constant. Zbl 1268.11166
Mortici, Cristinel
2012
Error estimates of Ramanujan-type series. Zbl 1247.33006
Mortici, Cristinel
2012
A new Stirling series as continued fraction. Zbl 1213.33007
Mortici, Cristinel
2011
The natural approach of Wilker-Cusa-Huygens inequalities. Zbl 1222.26020
Mortici, Cristinel
2011
Improved asymptotic formulas for the gamma function. Zbl 1222.33003
Mortici, Cristinel
2011
On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001
Mortici, Cristinel
2011
On Gosper’s formula for the gamma function. (On Gospers formula for the gamma function.) Zbl 1232.33001
Mortici, Cristinel
2011
Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003
Mortici, Cristinel
2011
Sharp bounds of the Landau constants. Zbl 1232.41038
Mortici, Cristinel
2011
On the gamma function approximation by Burnside. Zbl 1254.30049
Mortici, Cristinel
2011
Refinements of Gurland’s formula for pi. Zbl 1231.33002
Mortici, Cristinel
2011
On the monotonicity and convexity of the remainder of the Stirling formula. Zbl 1216.33008
Mortici, Cristinel
2011
Accurate estimates of the gamma function involving the PSI function. Zbl 1226.33001
Mortici, Cristinel
2011
A substantial improvement of the Stirling formula. Zbl 1216.33009
Mortici, Cristinel
2011
A new refinement of the Radon inequality. Zbl 1244.26046
Mortici, Cristinel
2011
Accurate approximations of the Mathieu series. Zbl 1217.33014
Mortici, Cristinel
2011
The quotient of gamma functions by the psi function. Zbl 1247.33007
Mortici, Cristinel
2011
Refinements of some bounds related to the constant $$e$$. Zbl 1240.33002
Mortici, Cristinel
2011
On a sum of the psi function with a logarithm. Zbl 1264.33005
Mortici, Cristinel
2011
Sharp form of inequality for the constant $$e$$. Zbl 1249.11114
Chen, Chao-Ping; Mortici, Cristinel
2011
New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality. Zbl 1218.33001
Mortici, Cristinel
2011
New sharp bounds for gamma and digamma functions. Zbl 1224.30180
Mortici, Cristinel
2011
New sharp double inequalities for bounding the gamma and digamma function. Zbl 1274.30149
Mortici, Cristinel; Chen, Chao-Ping
2011
A converse of the mean value theorem made easy. Zbl 1273.97035
Mortici, Cristinel
2011
Product approximations via asymptotic integration. Zbl 1214.40002
Mortici, Cristinel
2010
On new sequences converging towards the Euler-Mascheroni constant. Zbl 1193.33003
Mortici, Cristinel
2010
Very accurate estimates of the polygamma functions. Zbl 1204.33003
Mortici, Cristinel
2010
New approximations of the gamma function in terms of the digamma function. Zbl 1183.33003
Mortici, Cristinel
2010
New improvements of the Stirling formula. Zbl 1202.33004
Mortici, Cristinel
2010
A quicker convergence toward the $$\gamma$$ constant with the logarithm term involving the constant $$e$$. Zbl 1212.33001
Mortici, Cristinel
2010
Sharp inequalities related to Gosper’s formula. Zbl 1186.33004
Mortici, Cristinel
2010
Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047
Mortici, Cristinel
2010
Best estimates of the generalized Stirling formula. Zbl 1186.33003
Mortici, Cristinel
2010
Improved convergence towards generalized Euler-Mascheroni constant. Zbl 1186.11076
Mortici, Cristinel
2010
Ramanujan formula for the generalized Stirling approximation. Zbl 1211.40005
Mortici, Cristinel
2010
New approximation formulas for evaluating the ratio of gamma functions. Zbl 1201.33003
Mortici, Cristinel
2010
A class of integral approximations for the factorial function. Zbl 1189.33005
Mortici, Cristinel
2010
Monotonicity properties of the volume of the unit ball in $${\mathbb{R}^{n}}$$. Zbl 1225.33006
Mortici, Cristinel
2010
Fast convergences towards Euler-Mascheroni constant. Zbl 1206.41019
Mortici, Cristinel
2010
The proof of Muqattash-Yahdi conjecture. Zbl 1205.33003
Mortici, Cristinel
2010
The asymptotic series of the generalized Stirling formula. Zbl 1201.33002
Mortici, Cristinel
2010
Estimating the Somos’ quadratic recurrence constant. Zbl 1208.40002
Mortici, Cristinel
2010
Asymptotic expansions of the generalized Stirling approximations. Zbl 1205.33028
Mortici, Cristinel
2010
Sharp inequalities and complete monotonicity for the Wallis ratio. Zbl 1209.26026
Mortici, Cristinel
2010
A new method for establishing and proving accurate bounds for the Wallis ratio. Zbl 1206.33006
Mortici, Cristinel
2010
Estimating gamma function by digamma function. Zbl 1202.33005
Mortici, Cristinel
2010
New sharp inequalities for approximating the factorial function and the digamma function. Zbl 1224.30179
Mortici, Cristinel
2010
New bounds for a convergence by DeTemple. Zbl 1229.40005
Mortici, Cristinel
2010
Estimating the digamma and trigamma functions by completely monotonicity arguments. Zbl 1207.33002
Mortici, Cristinel
2010
On the generalized Stirling formula. Zbl 1212.40008
Mortici, Cristinel
2010
On some Euler-Mascheroni type sequences. Zbl 1205.40006
Mortici, Cristinel
2010
Turán-type inequalities for the gamma and polygamma functions. Zbl 1265.26050
Mortici, Cristinel
2010
A sharp inequality involving the psi function. Zbl 1212.33002
Mortici, Cristinel
2010
On the Stirling expansion into negative powers of a triangular number. Zbl 1217.40004
Mortici, Cristinel
2010
On some accurate estimates of $$\pi$$. Zbl 1312.11095
Mortici, Cristinel
2010
...and 18 more Documents
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#### Cited by 312 Authors

 59 Chen, Chaoping 58 Mortici, Cristinel 38 Lu, Dawei 24 Yang, Zhenhang 22 You, Xu 15 Malešević, Branko J. 14 Chu, Yuming 14 Song, Lixin 13 Qi, Feng 10 Lin, Long 10 Lutovac, Tatjana 10 Tian, Jingfeng 9 Wang, Xiaoguang 9 Zhu, Ling 8 Rašajski, Marija 7 Bercu, Gabriel 7 Chen, Dirong 7 El-Fassi, Iz-Iddine 7 Paris, Richard Bruce 7 Wang, Weiping 6 Banjac, Bojan 6 Lampret, Vito 6 Popa, Dorian 6 Srivastava, Hari Mohan 6 Xu, Aimin 5 Bagul, Yogesh J. 5 Chen, Xiaodiao 5 Choi, Junesang 5 Guo, Bai-Ni 5 Ma, Congxu 4 Batir, Necdet 4 Cao, Xiaodong 4 Chesneau, Christophe 4 Marinescu, Dan Ştefan 4 Monea, Mihai 4 Zhang, Xiaohui 3 Asiru, Muniru Aderemi 3 Baias, Alina-Ramona 3 Brzdęk, Janusz 3 Cristea, Valentin Gabriel 3 Elezović, Neven 3 Feng, Lei 3 Kostić, Marko 3 Ma, Wen-Xiu 3 Ma, Xuesi 3 Nantomah, Kwara 3 Nishizawa, Yusuke 3 Salem, Ahmed 3 Shen, Yonghong 3 Wang, Yigang 3 Wu, Shanhe 3 Yu, Yang 3 Zhang, Lina 3 Zhang, Wen 3 Zhao, Yuqiu 3 Zheng, Shenzhou 2 Adell, José Antonio 2 Agarwal, Ravi P. 2 Ajebbar, Omar 2 Berg, Christian 2 Cădariu, Liviu I. 2 Chu, Hong-Hu 2 Ciepliński, Krzysztof 2 Cringanu, Jenica C. 2 Debnath, Lokenath 2 Deng, Ji’en 2 Elqorachi, Elhoucien 2 Feng, Jinghai 2 Fošner, Ajda 2 Guo, Senlin 2 Guo, Songbai 2 Han, Min 2 Hu, Yue 2 Huang, Shouyou 2 Lekuona, Alberto 2 Leśniak, Zbigniew 2 Li, Yongjin 2 Li, Yutian 2 Liu, Saiyu 2 Liu, Songhao 2 Liu, Xinyu 2 Liu, Zhiming 2 Luo, Qiuming 2 Nemes, Gergő 2 Park, Choonkil 2 Pedersen, Henrik Laurberg 2 Prempeh, Edward 2 Qian, Weimao 2 Qu, Tianyi 2 Rasa, Ioan 2 Rassias, John Michael 2 Rguigui, Hafedh 2 Shi, Hong 2 Shi, Xiaoting 2 Song, Yingqing 2 Wang, Hongzeng 2 Wang, Junying 2 Xu, Hongmin 2 Xu, Shuaixia 2 Yang, Kang ...and 212 more Authors
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#### Cited in 91 Serials

 45 Journal of Inequalities and Applications 44 Applied Mathematics and Computation 39 Results in Mathematics 31 Journal of Number Theory 27 Journal of Mathematical Analysis and Applications 20 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 16 The Ramanujan Journal 12 Journal of Mathematical Inequalities 9 Computers & Mathematics with Applications 8 Applied Mathematics Letters 8 Numerical Algorithms 7 Journal of Fixed Point Theory and Applications 6 Mathematical and Computer Modelling 6 Integral Transforms and Special Functions 5 International Journal of Mathematical Education in Science and Technology 4 Journal of Computational and Applied Mathematics 4 Computational and Applied Mathematics 4 Mediterranean Journal of Mathematics 4 Journal of Function Spaces 3 Mathematical Inequalities & Applications 3 Communications of the Korean Mathematical Society 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Difference Equations 3 Problemy Analiza. Issues of Analysis 3 Journal of Mathematics 2 Bulletin of the Australian Mathematical Society 2 Journal of Approximation Theory 2 Proceedings of the American Mathematical Society 2 Aequationes Mathematicae 2 Applied Mathematics. Series B (English Edition) 2 Mathematical Problems in Engineering 2 Vietnam Journal of Mathematics 2 Abstract and Applied Analysis 2 Analysis (München) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 Optimization Letters 2 Applicable Analysis and Discrete Mathematics 2 Tbilisi Mathematical Journal 2 Journal of Nonlinear Science and Applications 2 Journal of Classical Analysis 2 Mathematics 2 Constructive Mathematical Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Notes 1 Physics Letters. A 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Archiv der Mathematik 1 BIT 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Constructive Approximation 1 Journal of Scientific Computing 1 Differential Geometry and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Georgian Mathematical Journal 1 Finite Fields and their Applications 1 Engineering Analysis with Boundary Elements 1 Positivity 1 Novi Sad Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of High Energy Physics 1 Annales Mathematicae Silesianae 1 Journal of Applied Mathematics 1 Forum Geometricorum 1 Computational Methods and Function Theory 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 International Journal of Quantum Information 1 Cubo 1 International Journal of Number Theory 1 Involve 1 São Paulo Journal of Mathematical Sciences 1 Analysis and Mathematical Physics 1 Arabian Journal of Mathematics 1 International Journal of Analysis 1 Sahand Communications in Mathematical Analysis 1 Open Mathematics 1 Moroccan Journal of Pure and Applied Analysis 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Applied Mathematics and Computational Mechanics
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#### Cited in 33 Fields

 214 Special functions (33-XX) 175 Real functions (26-XX) 147 Approximations and expansions (41-XX) 96 Number theory (11-XX) 45 Sequences, series, summability (40-XX) 33 Difference and functional equations (39-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 25 Numerical analysis (65-XX) 18 Functions of a complex variable (30-XX) 15 Operator theory (47-XX) 11 Ordinary differential equations (34-XX) 8 Functional analysis (46-XX) 7 Combinatorics (05-XX) 7 Probability theory and stochastic processes (60-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Mathematics education (97-XX) 5 Partial differential equations (35-XX) 5 Integral transforms, operational calculus (44-XX) 4 Measure and integration (28-XX) 3 Quantum theory (81-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX)