Edit Profile (opens in new tab) Mortici, Cristinel Compute Distance To: Compute Author ID: mortici.cristinel Published as: Mortici, Cristinel; Mortici, C. External Links: ORCID Documents Indexed: 210 Publications since 1997, including 5 Books Reviewing Activity: 205 Reviews Co-Authors: 35 Co-Authors with 66 Joint Publications 1,732 Co-Co-Authors all top 5 Co-Authors 144 single-authored 11 Chen, Chaoping 6 Hu, Yue 5 Monea, Mihai 5 Vernescu, Andrei D. 4 Dumitrescu, Sorinel 4 Malešević, Branko J. 4 Marinescu, Dan Ştefan 4 Qi, Feng 4 Sburlan, Silviu-Florin 3 Cristea, Valentin Gabriel 3 Jung, Soon-Mo 3 Lu, Dawei 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 all top 5 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 Științifice ale Universității “Ovidius” Constanța. 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 Babeș-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 Universității din Craiova. Seria Matematică Informatică 3 Mathematical Communications 3 Buletinul Științific al Universității Politehnica din Timișoara. 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 Științific al Universității Baia Mare. Seria B 2 Filomat 2 Integral Transforms and Special Functions 2 Analele Universității din Timișoara. Seria Matematică-Informatică 2 Buletinul Științific al Universității 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 Applicable Analysis and Discrete Mathematics 2 Analele Universității de Vest din Timișoara. 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 Brașov. 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 Științifice ale Universității Al. I. Cuza din Iași. 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 Buletinul Academiei de Științe 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 Universității din Oradea. Fascicola Matematică 1 Studii și Cercetări Științifice. 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 (Timișoara) 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 all top 5 Fields 93 Special functions (33-XX) 83 Real functions (26-XX) 55 Approximations and expansions (41-XX) 38 Sequences, series, summability (40-XX) 32 Number theory (11-XX) 28 Operator theory (47-XX) 21 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 123 Publications have been cited 1,680 times in 510 Documents Cited by ▼ Year ▼ Product approximations via asymptotic integration. Zbl 1214.40002Mortici, Cristinel 122 2010 A continued fraction approximation of the gamma function. Zbl 1333.40001Mortici, Cristinel 70 2013 A new Stirling series as continued fraction. Zbl 1213.33007Mortici, Cristinel 63 2011 The natural approach of Wilker-Cusa-Huygens inequalities. Zbl 1222.26020Mortici, Cristinel 56 2011 On new sequences converging towards the Euler-Mascheroni constant. Zbl 1193.33003Mortici, Cristinel 52 2010 Very accurate estimates of the polygamma functions. Zbl 1204.33003Mortici, Cristinel 52 2010 New approximations of the gamma function in terms of the digamma function. Zbl 1183.33003Mortici, Cristinel 47 2010 An ultimate extremely accurate formula for approximation of the factorial function. Zbl 1186.40004Mortici, Cristinel 46 2009 New improvements of the Stirling formula. Zbl 1202.33004Mortici, Cristinel 43 2010 A quicker convergence toward the \(\gamma\) constant with the logarithm term involving the constant \(e\). Zbl 1212.33001Mortici, Cristinel 40 2010 Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047Mortici, Cristinel 35 2010 Improved asymptotic formulas for the gamma function. Zbl 1222.33003Mortici, Cristinel 34 2011 Sharp inequalities related to Gosper’s formula. Zbl 1186.33004Mortici, Cristinel 34 2010 New approximation formulas for evaluating the ratio of gamma functions. Zbl 1201.33003Mortici, Cristinel 34 2010 On a functional equation of trigonometric type. Zbl 1338.39041Jung, Soon-Mo; Rassias, Michael Th.; Mortici, Cristinel 34 2015 Best estimates of the generalized Stirling formula. Zbl 1186.33003Mortici, Cristinel 33 2010 The natural algorithmic approach of mixed trigonometric-polynomial problems. Zbl 1373.42003Lutovac, Tatjana; Malešević, Branko; Mortici, Cristinel 30 2017 Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. Zbl 1445.26015Malešević, Branko; Lutovac, Tatjana; Rašajski, Marija; Mortici, Cristinel 29 2018 Improved convergence towards generalized Euler-Mascheroni constant. Zbl 1186.11076Mortici, Cristinel 29 2010 Ramanujan formula for the generalized Stirling approximation. Zbl 1211.40005Mortici, Cristinel 29 2010 Refinements of Jordan-Stečkin and Becker-Stark inequalities. Zbl 1308.26029Debnath, Lokenath; Mortici, Cristinel; Zhu, Ling 27 2015 New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002Chen, Chao-Ping; Mortici, Cristinel 27 2012 A class of integral approximations for the factorial function. Zbl 1189.33005Mortici, Cristinel 27 2010 A new fast asymptotic series for the gamma function. Zbl 1329.33003Mortici, Cristinel 24 2015 A subtly analysis of Wilker inequality. Zbl 1410.26024Mortici, Cristinel 24 2014 Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\). Zbl 1225.33006Mortici, Cristinel 23 2010 On Gosper’s formula for the gamma function. (On Gospers formula for the gamma function.) Zbl 1232.33001Mortici, Cristinel 21 2011 New approximations of some expressions involving trigonometric functions. Zbl 1410.26025Nenezić, Marija; Malešević, Branko; Mortici, Cristinel 21 2016 On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001Mortici, Cristinel 20 2011 On the stability of a functional equation associated with the Fibonacci numbers. Zbl 1474.39072Mortici, Cristinel; Rassias, Michael Th.; Jung, Soon-Mo 20 2014 Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003Mortici, Cristinel 19 2011 Completely monotonic functions associated with gamma function and applications. Zbl 1249.33003Mortici, C. 18 2009 Estimating the Somos’ quadratic recurrence constant. Zbl 1208.40002Mortici, Cristinel 18 2010 Sharp bounds of the Landau constants. Zbl 1232.41038Mortici, Cristinel 18 2011 Some best approximation formulas and inequalities for the Wallis ratio. Zbl 1338.33010Qi, Feng; Mortici, Cristinel 18 2015 Fast convergences towards Euler-Mascheroni constant. Zbl 1206.41019Mortici, Cristinel 17 2010 An improvement of the convergence speed of the sequence \((\gamma_n)_{n\geq 1}\) converging to Euler’s constant. Zbl 1306.40001Mortici, Cristinel; Vernescu, Andrei 16 2005 Completely monotonic functions and inequalities associated to some ratio of gamma function. Zbl 1334.33010Mortici, Cristinel; Cristea, Valentin Gabriel; Lu, Dawei 16 2014 Some new facts in discrete asymptotic analysis. Zbl 1156.40002Mortici, Cristinel; Vernescu, Andrei 16 2007 The proof of Muqattash-Yahdi conjecture. Zbl 1205.33003Mortici, Cristinel 16 2010 Sharp inequalities and complete monotonicity for the Wallis ratio. Zbl 1209.26026Mortici, Cristinel 15 2010 The asymptotic series of the generalized Stirling formula. Zbl 1201.33002Mortici, Cristinel 15 2010 On the harmonic number expansion by Ramanujan. Zbl 1331.11119Mortici, Cristinel; Chen, Chao-Ping 14 2013 Approximating the constants of Glaisher-Kinkelin type. Zbl 1319.11096Mortici, Cristinel 14 2013 Completely monotone functions and the Wallis ratio. Zbl 1242.33005Mortici, Cristinel 13 2012 Estimates for the arctangent function related to Shafer’s inequality. Zbl 1305.26010Mortici, Cristinel; Srivastava, H. M. 13 2014 On the gamma function approximation by Burnside. Zbl 1254.30049Mortici, Cristinel 12 2011 Asymptotic expansions of the generalized Stirling approximations. Zbl 1205.33028Mortici, Cristinel 11 2010 A new method for establishing and proving accurate bounds for the Wallis ratio. Zbl 1206.33006Mortici, Cristinel 11 2010 On the Ramanujan-Lodge harmonic number expansion. Zbl 1328.41008Mortici, Cristinel; Villarino, Mark B. 11 2015 On some convergences to the constant \(e\) and improvements of Carleman’s inequality. Zbl 1349.26062Mortici, Cristinel; Yue, Hu 9 2015 Refinements of Gurland’s formula for pi. Zbl 1231.33002Mortici, Cristinel 9 2011 The inhomogeneous Euler equation and its Hyers-Ulam stability. Zbl 1322.34019Mortici, Cristinel; Rassias, Themistocles M.; Jung, Soon-Mo 9 2015 Estimates of \((1+x)^{1/x}\) involved in Carleman’s inequality and Keller’s limit. Zbl 1474.26062Mortici, Cristinel; Jang, X.-J. 8 2015 Some new quicker approximations of Glaisher-Kinkelin’s and Bendersky-Adamchik’s constants. Zbl 1319.11095Lu, Dawei; Mortici, Cristinel 8 2014 Estimating gamma function by digamma function. Zbl 1202.33005Mortici, Cristinel 8 2010 New sharp inequalities for approximating the factorial function and the digamma function. Zbl 1224.30179Mortici, Cristinel 8 2010 Asymptotic formulas and inequalities for the gamma function in terms of the tri-gamma function. Zbl 1316.26032Mortici, Cristinel; Qi, Feng 7 2015 Estimates of the function and quotient by Minc-Sathre. Zbl 1338.33008Mortici, Cristinel 7 2015 The stability of some points arising from continuous, differential and integral expressions. Zbl 1341.39015Mortici, Cristinel; Monea, Mihai; Marinescu, Dan Ştefan 6 2016 A coincidence degree for bifurcation problems. Zbl 1028.47046Mortici, Cristinel; Sburlan, Silviu 6 2003 On the monotonicity and convexity of the remainder of the Stirling formula. Zbl 1216.33008Mortici, Cristinel 6 2011 Estimates for Wallis’ ratio and related functions. Zbl 1367.33005Mortici, Cristinel; Cristea, Valentin Gabriel 5 2016 A substantial improvement of the Stirling formula. Zbl 1216.33009Mortici, Cristinel 5 2011 New bounds for a convergence by DeTemple. Zbl 1229.40005Mortici, Cristinel 5 2010 Accurate estimates of the gamma function involving the PSI function. Zbl 1226.33001Mortici, Cristinel 5 2011 Estimating the digamma and trigamma functions by completely monotonicity arguments. Zbl 1207.33002Mortici, Cristinel 5 2010 On the generalized Stirling formula. Zbl 1212.40008Mortici, Cristinel 5 2010 Sharp inequalities related to the constant \(e\). Zbl 1310.26003Hu, Yue; Mortici, Cristinel 4 2014 Estimating \(\pi \) from the Wallis sequence. Zbl 1261.40002Mortici, Cristinel 4 2012 An improvement of the Ramanujan formula for approximation of the Euler gamma function. Zbl 1289.33002Mortici, Cristinel 4 2012 Some inequalities for the trigamma function in terms of the digamma function. Zbl 1410.33009Qi, Feng; Mortici, Cristinel 4 2015 Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002Chen, Chao-Ping; Mortici, Cristinel 4 2013 Efficient approximations of the gamma function and further properties. Zbl 1359.33002Mortici, Cristinel; Dumitrescu, Sorinel 3 2017 The quotient of gamma functions by the psi function. Zbl 1247.33007Mortici, Cristinel 3 2011 Error estimates of Ramanujan-type series. Zbl 1247.33006Mortici, Cristinel 3 2012 A new refinement of the Radon inequality. Zbl 1244.26046Mortici, Cristinel 3 2011 Turán-type inequalities for the gamma and polygamma functions. Zbl 1265.26050Mortici, Cristinel 3 2010 New sharp estimates of the generalized Euler-Mascheroni constant. Zbl 1259.33004Berinde, Vasile; Mortici, Cristinel 3 2013 On the Keller limit and generalization. Zbl 1345.26005Hu, Yue; Mortici, Cristinel 3 2016 Sharpness of Muqattash-Yahdi problem. Zbl 1247.33004Chen, Chao-Ping; Mortici, Cristinel 3 2012 Methods and algorithms for approximating the gamma functions and related functions. A survey. I: Asymptotic series. Zbl 1305.33004Mortici, Cristinel 3 2014 Accurate approximations of the Mathieu series. Zbl 1217.33014Mortici, Cristinel 3 2011 On some Euler-Mascheroni type sequences. Zbl 1205.40006Mortici, Cristinel 3 2010 A lower bound for a quotient of roots of factorials. Zbl 1213.33006Mortici, Cristinel 3 2009 On the sequence related to the irrationality of \(e\). Zbl 1315.26029Mortici, Cristinel 2 2012 A product approximation of the gamma function. Zbl 1320.33004Mortici, Cristinel; Srivastava, Hari M. 2 2015 Optimizing the convergence rate of the Wallis sequence. Zbl 1320.33003Mortici, Cristinel 2 2015 Sharp form of inequality for the constant \(e\). Zbl 1249.11114Chen, Chao-Ping; Mortici, Cristinel 2 2011 Some completely monotonic functions relating to the gamma function. Zbl 1254.30048Mortici, Cristinel 2 2012 On a sum of the psi function with a logarithm. Zbl 1264.33005Mortici, Cristinel 2 2011 Gamma function by \(x^{x-1}\). Zbl 1289.33003Mortici, Cristinel 2 2013 Refinements of some bounds related to the constant \(e\). Zbl 1240.33002Mortici, Cristinel 2 2011 The method of the variation of constants for Riccati equations. Zbl 1240.34005Mortici, Cristinel 2 2008 The best rational remainders in the Stirling formula. Zbl 1243.40005Mortici, Cristinel 2 2012 An extension of the Szász-Mirakjan operators. Zbl 1249.41061Mortici, C. 2 2009 Approximation methods for solving the Cauchy problem. Zbl 1081.34009Mortici, Cristinel 2 2005 Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body. Zbl 1393.33002Qi, Feng; Mortici, Cristinel; Guo, Bai-Ni 2 2018 A very elementary proof of Bernoulli’s inequality. Zbl 1406.97035Mortici, Cristinel 2 2015 Latter research on Euler-Mascheroni constant. Zbl 1306.11100Cristea, Valentin Gabriel; Mortici, Cristinel 2 2014 Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. Zbl 1445.26015Malešević, Branko; Lutovac, Tatjana; Rašajski, Marija; Mortici, Cristinel 29 2018 Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body. Zbl 1393.33002Qi, Feng; Mortici, Cristinel; Guo, Bai-Ni 2 2018 The natural algorithmic approach of mixed trigonometric-polynomial problems. Zbl 1373.42003Lutovac, Tatjana; Malešević, Branko; Mortici, Cristinel 30 2017 Efficient approximations of the gamma function and further properties. Zbl 1359.33002Mortici, Cristinel; Dumitrescu, Sorinel 3 2017 Series associated to some expressions involving the volume of the unit ball and applications. Zbl 1411.33002Mortici, Cristinel 1 2017 New approximations of some expressions involving trigonometric functions. Zbl 1410.26025Nenezić, Marija; Malešević, Branko; Mortici, Cristinel 21 2016 The stability of some points arising from continuous, differential and integral expressions. Zbl 1341.39015Mortici, Cristinel; Monea, Mihai; Marinescu, Dan Ştefan 6 2016 Estimates for Wallis’ ratio and related functions. Zbl 1367.33005Mortici, Cristinel; Cristea, Valentin Gabriel 5 2016 On the Keller limit and generalization. Zbl 1345.26005Hu, Yue; Mortici, Cristinel 3 2016 On a functional equation of trigonometric type. Zbl 1338.39041Jung, Soon-Mo; Rassias, Michael Th.; Mortici, Cristinel 34 2015 Refinements of Jordan-Stečkin and Becker-Stark inequalities. Zbl 1308.26029Debnath, Lokenath; Mortici, Cristinel; Zhu, Ling 27 2015 A new fast asymptotic series for the gamma function. Zbl 1329.33003Mortici, Cristinel 24 2015 Some best approximation formulas and inequalities for the Wallis ratio. Zbl 1338.33010Qi, Feng; Mortici, Cristinel 18 2015 On the Ramanujan-Lodge harmonic number expansion. Zbl 1328.41008Mortici, Cristinel; Villarino, Mark B. 11 2015 On some convergences to the constant \(e\) and improvements of Carleman’s inequality. Zbl 1349.26062Mortici, Cristinel; Yue, Hu 9 2015 The inhomogeneous Euler equation and its Hyers-Ulam stability. Zbl 1322.34019Mortici, Cristinel; Rassias, Themistocles M.; Jung, Soon-Mo 9 2015 Estimates of \((1+x)^{1/x}\) involved in Carleman’s inequality and Keller’s limit. Zbl 1474.26062Mortici, Cristinel; Jang, X.-J. 8 2015 Asymptotic formulas and inequalities for the gamma function in terms of the tri-gamma function. Zbl 1316.26032Mortici, Cristinel; Qi, Feng 7 2015 Estimates of the function and quotient by Minc-Sathre. Zbl 1338.33008Mortici, Cristinel 7 2015 Some inequalities for the trigamma function in terms of the digamma function. Zbl 1410.33009Qi, Feng; Mortici, Cristinel 4 2015 A product approximation of the gamma function. Zbl 1320.33004Mortici, Cristinel; Srivastava, Hari M. 2 2015 Optimizing the convergence rate of the Wallis sequence. Zbl 1320.33003Mortici, Cristinel 2 2015 A very elementary proof of Bernoulli’s inequality. Zbl 1406.97035Mortici, Cristinel 2 2015 On the growth rate of divergent series. Zbl 1302.26016Mortici, Cristinel; Rassias, Michael T. 1 2015 A subtly analysis of Wilker inequality. Zbl 1410.26024Mortici, Cristinel 24 2014 On the stability of a functional equation associated with the Fibonacci numbers. Zbl 1474.39072Mortici, Cristinel; Rassias, Michael Th.; Jung, Soon-Mo 20 2014 Completely monotonic functions and inequalities associated to some ratio of gamma function. Zbl 1334.33010Mortici, Cristinel; Cristea, Valentin Gabriel; Lu, Dawei 16 2014 Estimates for the arctangent function related to Shafer’s inequality. Zbl 1305.26010Mortici, Cristinel; Srivastava, H. M. 13 2014 Some new quicker approximations of Glaisher-Kinkelin’s and Bendersky-Adamchik’s constants. Zbl 1319.11095Lu, Dawei; Mortici, Cristinel 8 2014 Sharp inequalities related to the constant \(e\). Zbl 1310.26003Hu, Yue; Mortici, Cristinel 4 2014 Methods and algorithms for approximating the gamma functions and related functions. A survey. I: Asymptotic series. Zbl 1305.33004Mortici, Cristinel 3 2014 Latter research on Euler-Mascheroni constant. Zbl 1306.11100Cristea, Valentin Gabriel; Mortici, Cristinel 2 2014 A note on the Fermat-Torricelli point of a class of polygons. Zbl 1291.51014Mortici, Cristinel 1 2014 A continued fraction approximation of the gamma function. Zbl 1333.40001Mortici, Cristinel 70 2013 On the harmonic number expansion by Ramanujan. Zbl 1331.11119Mortici, Cristinel; Chen, Chao-Ping 14 2013 Approximating the constants of Glaisher-Kinkelin type. Zbl 1319.11096Mortici, Cristinel 14 2013 Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002Chen, Chao-Ping; Mortici, Cristinel 4 2013 New sharp estimates of the generalized Euler-Mascheroni constant. Zbl 1259.33004Berinde, Vasile; Mortici, Cristinel 3 2013 Gamma function by \(x^{x-1}\). Zbl 1289.33003Mortici, Cristinel 2 2013 New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002Chen, Chao-Ping; Mortici, Cristinel 27 2012 Completely monotone functions and the Wallis ratio. Zbl 1242.33005Mortici, Cristinel 13 2012 Estimating \(\pi \) from the Wallis sequence. Zbl 1261.40002Mortici, Cristinel 4 2012 An improvement of the Ramanujan formula for approximation of the Euler gamma function. Zbl 1289.33002Mortici, Cristinel 4 2012 Error estimates of Ramanujan-type series. Zbl 1247.33006Mortici, Cristinel 3 2012 Sharpness of Muqattash-Yahdi problem. Zbl 1247.33004Chen, Chao-Ping; Mortici, Cristinel 3 2012 On the sequence related to the irrationality of \(e\). Zbl 1315.26029Mortici, Cristinel 2 2012 Some completely monotonic functions relating to the gamma function. Zbl 1254.30048Mortici, Cristinel 2 2012 The best rational remainders in the Stirling formula. Zbl 1243.40005Mortici, Cristinel 2 2012 A power series approach to some inequalities. Zbl 1245.26013Mortici, Cristinel 1 2012 Estimating the Apéry’s constant. Zbl 1268.11166Mortici, Cristinel 1 2012 A new Stirling series as continued fraction. Zbl 1213.33007Mortici, Cristinel 63 2011 The natural approach of Wilker-Cusa-Huygens inequalities. Zbl 1222.26020Mortici, Cristinel 56 2011 Improved asymptotic formulas for the gamma function. Zbl 1222.33003Mortici, Cristinel 34 2011 On Gosper’s formula for the gamma function. (On Gospers formula for the gamma function.) Zbl 1232.33001Mortici, Cristinel 21 2011 On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001Mortici, Cristinel 20 2011 Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003Mortici, Cristinel 19 2011 Sharp bounds of the Landau constants. Zbl 1232.41038Mortici, Cristinel 18 2011 On the gamma function approximation by Burnside. Zbl 1254.30049Mortici, Cristinel 12 2011 Refinements of Gurland’s formula for pi. Zbl 1231.33002Mortici, Cristinel 9 2011 On the monotonicity and convexity of the remainder of the Stirling formula. Zbl 1216.33008Mortici, Cristinel 6 2011 A substantial improvement of the Stirling formula. Zbl 1216.33009Mortici, Cristinel 5 2011 Accurate estimates of the gamma function involving the PSI function. Zbl 1226.33001Mortici, Cristinel 5 2011 The quotient of gamma functions by the psi function. Zbl 1247.33007Mortici, Cristinel 3 2011 A new refinement of the Radon inequality. Zbl 1244.26046Mortici, Cristinel 3 2011 Accurate approximations of the Mathieu series. Zbl 1217.33014Mortici, Cristinel 3 2011 Sharp form of inequality for the constant \(e\). Zbl 1249.11114Chen, Chao-Ping; Mortici, Cristinel 2 2011 On a sum of the psi function with a logarithm. Zbl 1264.33005Mortici, Cristinel 2 2011 Refinements of some bounds related to the constant \(e\). Zbl 1240.33002Mortici, Cristinel 2 2011 A Carleman’s inequality refinement note. Zbl 1289.26052Mortici, Cristinel; Yue, Hu 1 2011 New sharp double inequalities for bounding the gamma and digamma function. Zbl 1274.30149Mortici, Cristinel; Chen, Chao-Ping 1 2011 New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality. Zbl 1218.33001Mortici, Cristinel 1 2011 New sharp bounds for gamma and digamma functions. Zbl 1224.30180Mortici, Cristinel 1 2011 A converse of the mean value theorem made easy. Zbl 1273.97035Mortici, Cristinel 1 2011 Product approximations via asymptotic integration. Zbl 1214.40002Mortici, Cristinel 122 2010 On new sequences converging towards the Euler-Mascheroni constant. Zbl 1193.33003Mortici, Cristinel 52 2010 Very accurate estimates of the polygamma functions. Zbl 1204.33003Mortici, Cristinel 52 2010 New approximations of the gamma function in terms of the digamma function. Zbl 1183.33003Mortici, Cristinel 47 2010 New improvements of the Stirling formula. Zbl 1202.33004Mortici, Cristinel 43 2010 A quicker convergence toward the \(\gamma\) constant with the logarithm term involving the constant \(e\). Zbl 1212.33001Mortici, Cristinel 40 2010 Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047Mortici, Cristinel 35 2010 Sharp inequalities related to Gosper’s formula. Zbl 1186.33004Mortici, Cristinel 34 2010 New approximation formulas for evaluating the ratio of gamma functions. Zbl 1201.33003Mortici, Cristinel 34 2010 Best estimates of the generalized Stirling formula. Zbl 1186.33003Mortici, Cristinel 33 2010 Improved convergence towards generalized Euler-Mascheroni constant. Zbl 1186.11076Mortici, Cristinel 29 2010 Ramanujan formula for the generalized Stirling approximation. Zbl 1211.40005Mortici, Cristinel 29 2010 A class of integral approximations for the factorial function. Zbl 1189.33005Mortici, Cristinel 27 2010 Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\). Zbl 1225.33006Mortici, Cristinel 23 2010 Estimating the Somos’ quadratic recurrence constant. Zbl 1208.40002Mortici, Cristinel 18 2010 Fast convergences towards Euler-Mascheroni constant. Zbl 1206.41019Mortici, Cristinel 17 2010 The proof of Muqattash-Yahdi conjecture. Zbl 1205.33003Mortici, Cristinel 16 2010 Sharp inequalities and complete monotonicity for the Wallis ratio. Zbl 1209.26026Mortici, Cristinel 15 2010 The asymptotic series of the generalized Stirling formula. Zbl 1201.33002Mortici, Cristinel 15 2010 Asymptotic expansions of the generalized Stirling approximations. Zbl 1205.33028Mortici, Cristinel 11 2010 A new method for establishing and proving accurate bounds for the Wallis ratio. Zbl 1206.33006Mortici, Cristinel 11 2010 Estimating gamma function by digamma function. Zbl 1202.33005Mortici, Cristinel 8 2010 New sharp inequalities for approximating the factorial function and the digamma function. Zbl 1224.30179Mortici, Cristinel 8 2010 New bounds for a convergence by DeTemple. Zbl 1229.40005Mortici, Cristinel 5 2010 Estimating the digamma and trigamma functions by completely monotonicity arguments. Zbl 1207.33002Mortici, Cristinel 5 2010 On the generalized Stirling formula. Zbl 1212.40008Mortici, Cristinel 5 2010 Turán-type inequalities for the gamma and polygamma functions. Zbl 1265.26050Mortici, Cristinel 3 2010 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 421 Authors 64 Chen, Chaoping 60 Mortici, Cristinel 38 Lu, Dawei 28 Yang, Zhenhang 25 Malešević, Branko J. 23 You, Xu 18 Zhu, Ling 17 Chu, Yuming 17 Qi, Feng 14 Song, Lixin 13 Lutovac, Tatjana 13 Tian, Jingfeng 12 Chen, Xiaodiao 10 Bagul, Yogesh Jibhau 10 Lin, Long 10 Rašajski, Marija 9 Bercu, Gabriel 9 El-Fassi, Iz-Iddine 9 Lampret, Vito 9 Wang, Xiaoguang 8 Banjac, Bojan 8 Chen, Dirong 8 Paris, Richard Bruce 7 Srivastava, Hari Mohan 7 Wang, Weiping 7 Xu, Aimin 6 Chesneau, Christophe 6 Popa, Dorian 5 Brzdęk, Janusz 5 Choi, Junesang 5 Guo, Bai-Ni 5 Ma, Congxu 5 Monea, Mihai 4 Batir, Necdet 4 Cao, Xiaodong 4 Dhaigude, Ramkrishna M. 4 Kostić, Marko 4 Ma, Xuesi 4 Marinescu, Dan Ştefan 4 Nenezić, Marija 4 Salem, Ahmed 4 Wang, Yigang 4 Wu, Shanhe 4 Zhang, Xiaohui 3 Agarwal, Ravi P. 3 Asiru, Muniru Aderemi 3 Baias, Alina-Ramona 3 Cringanu, Jenica C. 3 Cristea, Valentin Gabriel 3 Elezović, Neven 3 Feng, Lei 3 Hu, Yue 3 Ma, Wen-Xiu 3 Nantomah, Kwara 3 Nishizawa, Yusuke 3 Shen, Yonghong 3 Suparatulatorn, Raweerote 3 Yang, Kang 3 Yin, Li 3 Yu, Yang 3 Zhang, Lina 3 Zhang, Wen 3 Zhao, Yuqiu 3 Zheng, Shenzhou 2 Adell, José Antonio 2 Ajebbar, Omar 2 Berg, Christian 2 Burić, Tomislav 2 Cădariu, Liviu I. 2 Chen, Ligeng 2 Chu, Hong-Hu 2 Ciepliński, Krzysztof 2 Ciplea, Sorina Anamaria 2 Debnath, Lokenath 2 Deng, Ji’en 2 Elqorachi, Elhoucien 2 Feng, Jinghai 2 Fošner, Ajda 2 Guo, Senlin 2 Guo, Songbai 2 Gusakova, Anna Grigorevna 2 Han, Min 2 Han, Xuefeng 2 Hassani, Mehdi 2 Huang, Liguo 2 Huang, Shouyou 2 Huang, TiRen 2 Jahedi, Sedigheh 2 Kabbaj, Samir 2 Keshavarz, Vahid 2 Lekuona, Alberto 2 Leśniak, Zbigniew 2 Li, Yongjin 2 Li, Yutian 2 Lin, Fu-Rong 2 Liu, Saiyu 2 Liu, Songhao 2 Liu, Xinyu 2 Liu, Zhiming 2 López Pouso, Rodrigo ...and 321 more Authors all top 5 Cited in 116 Serials 71 Journal of Inequalities and Applications 44 Applied Mathematics and Computation 41 Results in Mathematics 31 Journal of Number Theory 29 Journal of Mathematical Analysis and Applications 26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. 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New Series 1 Central European Journal of Mathematics 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Hacettepe Journal of Mathematics and Statistics 1 Thai Journal of Mathematics 1 International Journal of Quantum Information ...and 16 more Serials all top 5 Cited in 41 Fields 263 Special functions (33-XX) 233 Real functions (26-XX) 173 Approximations and expansions (41-XX) 112 Number theory (11-XX) 54 Sequences, series, summability (40-XX) 48 Difference and functional equations (39-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 28 Numerical analysis (65-XX) 27 Operator theory (47-XX) 18 Functions of a complex variable (30-XX) 18 Ordinary differential equations (34-XX) 11 Functional analysis (46-XX) 10 Combinatorics (05-XX) 9 Probability theory and stochastic processes (60-XX) 7 Partial differential equations (35-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral transforms, operational calculus (44-XX) 7 Mathematics education (97-XX) 5 Statistics (62-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Convex and discrete geometry (52-XX) 4 Quantum theory (81-XX) 3 Field theory and polynomials (12-XX) 3 Integral equations (45-XX) 2 Geometry (51-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 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year