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Author ID: mortici.cristinel Recent zbMATH articles by "Mortici, Cristinel"
Published as: Mortici, Cristinel; Mortici, C.
External Links: ORCID
Documents Indexed: 216 Publications since 1997, including 5 Books and 5 Additional arXiv Preprints
Reviewing Activity: 205 Reviews
Co-Authors: 37 Co-Authors with 71 Joint Publications
1,871 Co-Co-Authors
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 Applicable Analysis and Discrete Mathematics
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 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

Publications by Year

Citations contained in zbMATH Open

127 Publications have been cited 1,784 times in 561 Documents Cited by Year
Product approximations via asymptotic integration. Zbl 1214.40002
Mortici, Cristinel
124
2010
A continued fraction approximation of the gamma function. Zbl 1333.40001
Mortici, Cristinel
71
2013
A new Stirling series as continued fraction. Zbl 1213.33007
Mortici, Cristinel
64
2011
The natural approach of Wilker-Cusa-Huygens inequalities. Zbl 1222.26020
Mortici, Cristinel
60
2011
Very accurate estimates of the polygamma functions. Zbl 1204.33003
Mortici, Cristinel
53
2010
On new sequences converging towards the Euler-Mascheroni constant. Zbl 1193.33003
Mortici, Cristinel
53
2010
New approximations of the gamma function in terms of the digamma function. Zbl 1183.33003
Mortici, Cristinel
47
2010
An ultimate extremely accurate formula for approximation of the factorial function. Zbl 1186.40004
Mortici, Cristinel
46
2009
New improvements of the Stirling formula. Zbl 1202.33004
Mortici, Cristinel
43
2010
On a functional equation of trigonometric type. Zbl 1338.39041
Jung, Soon-Mo; Rassias, Michael Th.; Mortici, Cristinel
40
2015
A quicker convergence toward the \(\gamma\) constant with the logarithm term involving the constant \(e\). Zbl 1212.33001
Mortici, Cristinel
39
2010
New approximation formulas for evaluating the ratio of gamma functions. Zbl 1201.33003
Mortici, Cristinel
38
2010
The natural algorithmic approach of mixed trigonometric-polynomial problems. Zbl 1373.42003
Lutovac, Tatjana; Malešević, Branko; Mortici, Cristinel
37
2017
Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047
Mortici, Cristinel
35
2010
Sharp inequalities related to Gosper’s formula. Zbl 1186.33004
Mortici, Cristinel
34
2010
Best estimates of the generalized Stirling formula. Zbl 1186.33003
Mortici, Cristinel
34
2010
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. Zbl 1445.26015
Malešević, Branko; Lutovac, Tatjana; Rašajski, Marija; Mortici, Cristinel
34
2018
Improved asymptotic formulas for the gamma function. Zbl 1222.33003
Mortici, Cristinel
34
2011
On the stability of a functional equation associated with the Fibonacci numbers. Zbl 1474.39072
Mortici, Cristinel; Rassias, Michael Th.; Jung, Soon-Mo
33
2014
Refinements of Jordan-Stečkin and Becker-Stark inequalities. Zbl 1308.26029
Debnath, Lokenath; Mortici, Cristinel; Zhu, Ling
32
2015
Ramanujan formula for the generalized Stirling approximation. Zbl 1211.40005
Mortici, Cristinel
30
2010
Improved convergence towards generalized Euler-Mascheroni constant. Zbl 1186.11076
Mortici, Cristinel
29
2010
A class of integral approximations for the factorial function. Zbl 1189.33005
Mortici, Cristinel
28
2010
New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002
Chen, Chao-Ping; Mortici, Cristinel
28
2012
New approximations of some expressions involving trigonometric functions. Zbl 1410.26025
Nenezić, Marija; Malešević, Branko; Mortici, Cristinel
27
2016
A subtly analysis of Wilker inequality. Zbl 1410.26024
Mortici, Cristinel
26
2014
On Gosper’s formula for the gamma function. (On Gospers formula for the gamma function.) Zbl 1232.33001
Mortici, Cristinel
25
2011
Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\). Zbl 1225.33006
Mortici, Cristinel
24
2010
A new fast asymptotic series for the gamma function. Zbl 1329.33003
Mortici, Cristinel
24
2015
Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003
Mortici, Cristinel
20
2011
On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001
Mortici, Cristinel
20
2011
Estimating the Somos’ quadratic recurrence constant. Zbl 1208.40002
Mortici, Cristinel
19
2010
Sharp bounds of the Landau constants. Zbl 1232.41038
Mortici, Cristinel
18
2011
Completely monotonic functions and inequalities associated to some ratio of gamma function. Zbl 1334.33010
Mortici, Cristinel; Cristea, Valentin Gabriel; Lu, Dawei
18
2014
Some best approximation formulas and inequalities for the Wallis ratio. Zbl 1338.33010
Qi, Feng; Mortici, Cristinel
18
2015
Completely monotonic functions associated with gamma function and applications. Zbl 1249.33003
Mortici, C.
18
2009
The proof of Muqattash-Yahdi conjecture. Zbl 1205.33003
Mortici, Cristinel
17
2010
Fast convergences towards Euler-Mascheroni constant. Zbl 1206.41019
Mortici, Cristinel
17
2010
The asymptotic series of the generalized Stirling formula. Zbl 1201.33002
Mortici, Cristinel
16
2010
Sharp inequalities and complete monotonicity for the Wallis ratio. Zbl 1209.26026
Mortici, Cristinel
16
2010
Some new facts in discrete asymptotic analysis. Zbl 1156.40002
Mortici, Cristinel; Vernescu, Andrei
16
2007
Approximating the constants of Glaisher-Kinkelin type. Zbl 1319.11096
Mortici, Cristinel
16
2013
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
16
2005
On the harmonic number expansion by Ramanujan. Zbl 1331.11119
Mortici, Cristinel; Chen, Chao-Ping
15
2013
Completely monotone functions and the Wallis ratio. Zbl 1242.33005
Mortici, Cristinel
15
2012
Estimates for the arctangent function related to Shafer’s inequality. Zbl 1305.26010
Mortici, Cristinel; Srivastava, H. M.
14
2014
A new method for establishing and proving accurate bounds for the Wallis ratio. Zbl 1206.33006
Mortici, Cristinel
12
2010
On the Ramanujan-Lodge harmonic number expansion. Zbl 1328.41008
Mortici, Cristinel; Villarino, Mark B.
12
2015
On the gamma function approximation by Burnside. Zbl 1254.30049
Mortici, Cristinel
12
2011
Asymptotic expansions of the generalized Stirling approximations. Zbl 1205.33028
Mortici, Cristinel
11
2010
The inhomogeneous Euler equation and its Hyers-Ulam stability. Zbl 1322.34019
Mortici, Cristinel; Rassias, Themistocles M.; Jung, Soon-Mo
10
2015
On some convergences to the constant \(e\) and improvements of Carleman’s inequality. Zbl 1349.26062
Mortici, Cristinel; Yue, Hu
10
2015
Refinements of Gurland’s formula for pi. Zbl 1231.33002
Mortici, Cristinel
10
2011
Estimating gamma function by digamma function. Zbl 1202.33005
Mortici, Cristinel
8
2010
New sharp inequalities for approximating the factorial function and the digamma function. Zbl 1224.30179
Mortici, Cristinel
8
2010
Some new quicker approximations of Glaisher-Kinkelin’s and Bendersky-Adamchik’s constants. Zbl 1319.11095
Lu, Dawei; Mortici, Cristinel
8
2014
Estimates of the function and quotient by Minc-Sathre. Zbl 1338.33008
Mortici, Cristinel
8
2015
Estimates of \((1+x)^{1/x}\) involved in Carleman’s inequality and Keller’s limit. Zbl 1474.26062
Mortici, Cristinel; Jang, X.-J.
8
2015
On the monotonicity and convexity of the remainder of the Stirling formula. Zbl 1216.33008
Mortici, Cristinel
7
2011
The stability of some points arising from continuous, differential and integral expressions. Zbl 1341.39015
Mortici, Cristinel; Monea, Mihai; Marinescu, Dan Ştefan
7
2016
Asymptotic formulas and inequalities for the gamma function in terms of the tri-gamma function. Zbl 1316.26032
Mortici, Cristinel; Qi, Feng
7
2015
A coincidence degree for bifurcation problems. Zbl 1028.47046
Mortici, Cristinel; Sburlan, Silviu
6
2003
Estimating \(\pi \) from the Wallis sequence. Zbl 1261.40002
Mortici, Cristinel
6
2012
A substantial improvement of the Stirling formula. Zbl 1216.33009
Mortici, Cristinel
5
2011
On the generalized Stirling formula. Zbl 1212.40008
Mortici, Cristinel
5
2010
Estimating the digamma and trigamma functions by completely monotonicity arguments. Zbl 1207.33002
Mortici, Cristinel
5
2010
New bounds for a convergence by DeTemple. Zbl 1229.40005
Mortici, Cristinel
5
2010
Accurate estimates of the gamma function involving the PSI function. Zbl 1226.33001
Mortici, Cristinel
5
2011
Some inequalities for the trigamma function in terms of the digamma function. Zbl 1410.33009
Qi, Feng; Mortici, Cristinel
5
2015
Estimates for Wallis’ ratio and related functions. Zbl 1367.33005
Mortici, Cristinel; Cristea, Valentin Gabriel
5
2016
A sharp inequality involving the psi function. Zbl 1212.33002
Mortici, Cristinel
4
2010
Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002
Chen, Chao-Ping; Mortici, Cristinel
4
2013
Sharp inequalities related to the constant \(e\). Zbl 1310.26003
Hu, Yue; Mortici, Cristinel
4
2014
Turán-type inequalities for the gamma and polygamma functions. Zbl 1265.26050
Mortici, Cristinel
4
2010
An improvement of the Ramanujan formula for approximation of the Euler gamma function. Zbl 1289.33002
Mortici, Cristinel
4
2012
A lower bound for a quotient of roots of factorials. Zbl 1213.33006
Mortici, Cristinel
3
2009
Series associated to some expressions involving the volume of the unit ball and applications. Zbl 1411.33002
Mortici, Cristinel
3
2017
On some Euler-Mascheroni type sequences. Zbl 1205.40006
Mortici, Cristinel
3
2010
Accurate approximations of the Mathieu series. Zbl 1217.33014
Mortici, Cristinel
3
2011
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
3
2018
Efficient approximations of the gamma function and further properties. Zbl 1359.33002
Mortici, Cristinel; Dumitrescu, Sorinel
3
2017
Error estimates of Ramanujan-type series. Zbl 1247.33006
Mortici, Cristinel
3
2012
Sharp form of inequality for the constant \(e\). Zbl 1249.11114
Chen, Chao-Ping; Mortici, Cristinel
3
2011
A new refinement of the Radon inequality. Zbl 1244.26046
Mortici, Cristinel
3
2011
The quotient of gamma functions by the psi function. Zbl 1247.33007
Mortici, Cristinel
3
2011
Sharpness of Muqattash-Yahdi problem. Zbl 1247.33004
Chen, Chao-Ping; Mortici, Cristinel
3
2012
Methods and algorithms for approximating the gamma functions and related functions. A survey. I: Asymptotic series. Zbl 1305.33004
Mortici, Cristinel
3
2014
New sharp estimates of the generalized Euler-Mascheroni constant. Zbl 1259.33004
Berinde, Vasile; Mortici, Cristinel
3
2013
The method of the variation of constants for Riccati equations. Zbl 1240.34005
Mortici, Cristinel
3
2008
On the Keller limit and generalization. Zbl 1345.26005
Hu, Yue; Mortici, Cristinel
3
2016
New sharp bounds for gamma and digamma functions. Zbl 1224.30180
Mortici, Cristinel
2
2011
New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality. Zbl 1218.33001
Mortici, Cristinel
2
2011
Arithmetic mean of values and value at mean of arguments for convex functions. Zbl 1175.26045
Mortici, Cristinel
2
2008
Approximation methods for solving the Cauchy problem. Zbl 1081.34009
Mortici, Cristinel
2
2005
On a sum of the psi function with a logarithm. Zbl 1264.33005
Mortici, Cristinel
2
2011
On the solvability of the Cauchy problem. Zbl 1048.34500
Mortici, Cristinel
2
1999
Some completely monotonic functions relating to the gamma function. Zbl 1254.30048
Mortici, Cristinel
2
2012
Gamma function by \(x^{x-1}\). Zbl 1289.33003
Mortici, Cristinel
2
2013
A product approximation of the gamma function. Zbl 1320.33004
Mortici, Cristinel; Srivastava, Hari M.
2
2015
Optimizing the convergence rate of the Wallis sequence. Zbl 1320.33003
Mortici, Cristinel
2
2015
The relationship between Huygens’ and Wilker’s inequalities and further remarks. Zbl 1524.26026
Chen, Chao-Ping; Mortici, Cristinel
1
2023
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. Zbl 1445.26015
Malešević, Branko; Lutovac, Tatjana; Rašajski, Marija; Mortici, Cristinel
34
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
3
2018
Accurate estimates of \((1 + x)^{1/x}\) involved in Carleman inequality and Keller limit. Zbl 1499.26059
Malešević, Branko; Hu, Yue; Mortici, Cristinel
1
2018
The natural algorithmic approach of mixed trigonometric-polynomial problems. Zbl 1373.42003
Lutovac, Tatjana; Malešević, Branko; Mortici, Cristinel
37
2017
Series associated to some expressions involving the volume of the unit ball and applications. Zbl 1411.33002
Mortici, Cristinel
3
2017
Efficient approximations of the gamma function and further properties. Zbl 1359.33002
Mortici, Cristinel; Dumitrescu, Sorinel
3
2017
About Karamata mean value theorem, some consequences and some stability results. Zbl 1371.39037
Marinescu, Dan Ştefan; Monea, Mihai; Mortici, Cristinel
1
2017
New approximations of some expressions involving trigonometric functions. Zbl 1410.26025
Nenezić, Marija; Malešević, Branko; Mortici, Cristinel
27
2016
The stability of some points arising from continuous, differential and integral expressions. Zbl 1341.39015
Mortici, Cristinel; Monea, Mihai; Marinescu, Dan Ştefan
7
2016
Estimates for Wallis’ ratio and related functions. Zbl 1367.33005
Mortici, Cristinel; Cristea, Valentin Gabriel
5
2016
On the Keller limit and generalization. Zbl 1345.26005
Hu, Yue; Mortici, Cristinel
3
2016
On a functional equation of trigonometric type. Zbl 1338.39041
Jung, Soon-Mo; Rassias, Michael Th.; Mortici, Cristinel
40
2015
Refinements of Jordan-Stečkin and Becker-Stark inequalities. Zbl 1308.26029
Debnath, Lokenath; Mortici, Cristinel; Zhu, Ling
32
2015
A new fast asymptotic series for the gamma function. Zbl 1329.33003
Mortici, Cristinel
24
2015
Some best approximation formulas and inequalities for the Wallis ratio. Zbl 1338.33010
Qi, Feng; Mortici, Cristinel
18
2015
On the Ramanujan-Lodge harmonic number expansion. Zbl 1328.41008
Mortici, Cristinel; Villarino, Mark B.
12
2015
The inhomogeneous Euler equation and its Hyers-Ulam stability. Zbl 1322.34019
Mortici, Cristinel; Rassias, Themistocles M.; Jung, Soon-Mo
10
2015
On some convergences to the constant \(e\) and improvements of Carleman’s inequality. Zbl 1349.26062
Mortici, Cristinel; Yue, Hu
10
2015
Estimates of the function and quotient by Minc-Sathre. Zbl 1338.33008
Mortici, Cristinel
8
2015
Estimates of \((1+x)^{1/x}\) involved in Carleman’s inequality and Keller’s limit. Zbl 1474.26062
Mortici, Cristinel; Jang, X.-J.
8
2015
Asymptotic formulas and inequalities for the gamma function in terms of the tri-gamma function. Zbl 1316.26032
Mortici, Cristinel; Qi, Feng
7
2015
Some inequalities for the trigamma function in terms of the digamma function. Zbl 1410.33009
Qi, Feng; Mortici, Cristinel
5
2015
A product approximation of the gamma function. Zbl 1320.33004
Mortici, Cristinel; Srivastava, Hari M.
2
2015
Optimizing the convergence rate of the Wallis sequence. Zbl 1320.33003
Mortici, Cristinel
2
2015
A very elementary proof of Bernoulli’s inequality. Zbl 1406.97035
Mortici, Cristinel
2
2015
On the growth rate of divergent series. Zbl 1302.26016
Mortici, Cristinel; Rassias, Michael T.
1
2015
On the stability of a functional equation associated with the Fibonacci numbers. Zbl 1474.39072
Mortici, Cristinel; Rassias, Michael Th.; Jung, Soon-Mo
33
2014
A subtly analysis of Wilker inequality. Zbl 1410.26024
Mortici, Cristinel
26
2014
Completely monotonic functions and inequalities associated to some ratio of gamma function. Zbl 1334.33010
Mortici, Cristinel; Cristea, Valentin Gabriel; Lu, Dawei
18
2014
Estimates for the arctangent function related to Shafer’s inequality. Zbl 1305.26010
Mortici, Cristinel; Srivastava, H. M.
14
2014
Some new quicker approximations of Glaisher-Kinkelin’s and Bendersky-Adamchik’s constants. Zbl 1319.11095
Lu, Dawei; Mortici, Cristinel
8
2014
Sharp inequalities related to the constant \(e\). Zbl 1310.26003
Hu, Yue; Mortici, Cristinel
4
2014
Methods and algorithms for approximating the gamma functions and related functions. A survey. I: Asymptotic series. Zbl 1305.33004
Mortici, Cristinel
3
2014
Latter research on Euler-Mascheroni constant. Zbl 1306.11100
Cristea, Valentin Gabriel; Mortici, Cristinel
2
2014
A note on the Fermat-Torricelli point of a class of polygons. Zbl 1291.51014
Mortici, Cristinel
1
2014
A continued fraction approximation of the gamma function. Zbl 1333.40001
Mortici, Cristinel
71
2013
Approximating the constants of Glaisher-Kinkelin type. Zbl 1319.11096
Mortici, Cristinel
16
2013
On the harmonic number expansion by Ramanujan. Zbl 1331.11119
Mortici, Cristinel; Chen, Chao-Ping
15
2013
Limits and inequalities associated with the Euler-Mascheroni constant. Zbl 1297.33002
Chen, Chao-Ping; Mortici, Cristinel
4
2013
New sharp estimates of the generalized Euler-Mascheroni constant. Zbl 1259.33004
Berinde, Vasile; Mortici, Cristinel
3
2013
Gamma function by \(x^{x-1}\). Zbl 1289.33003
Mortici, Cristinel
2
2013
New sequence converging towards the Euler-Mascheroni constant. Zbl 1252.33002
Chen, Chao-Ping; Mortici, Cristinel
28
2012
Completely monotone functions and the Wallis ratio. Zbl 1242.33005
Mortici, Cristinel
15
2012
Estimating \(\pi \) from the Wallis sequence. Zbl 1261.40002
Mortici, Cristinel
6
2012
An improvement of the Ramanujan formula for approximation of the Euler gamma function. Zbl 1289.33002
Mortici, Cristinel
4
2012
Error estimates of Ramanujan-type series. Zbl 1247.33006
Mortici, Cristinel
3
2012
Sharpness of Muqattash-Yahdi problem. Zbl 1247.33004
Chen, Chao-Ping; Mortici, Cristinel
3
2012
Some completely monotonic functions relating to the gamma function. Zbl 1254.30048
Mortici, Cristinel
2
2012
On the sequence related to the irrationality of \(e\). Zbl 1315.26029
Mortici, Cristinel
2
2012
The best rational remainders in the Stirling formula. Zbl 1243.40005
Mortici, Cristinel
2
2012
A power series approach to some inequalities. Zbl 1245.26013
Mortici, Cristinel
1
2012
Estimating the Apéry’s constant. Zbl 1268.11166
Mortici, Cristinel
1
2012
A new Stirling series as continued fraction. Zbl 1213.33007
Mortici, Cristinel
64
2011
The natural approach of Wilker-Cusa-Huygens inequalities. Zbl 1222.26020
Mortici, Cristinel
60
2011
Improved asymptotic formulas for the gamma function. Zbl 1222.33003
Mortici, Cristinel
34
2011
On Gosper’s formula for the gamma function. (On Gospers formula for the gamma function.) Zbl 1232.33001
Mortici, Cristinel
25
2011
Ramanujan’s estimate for the gamma function via monotonicity arguments. Zbl 1217.33003
Mortici, Cristinel
20
2011
On Ramanujan’s large argument formula for the gamma function. Zbl 1255.33001
Mortici, Cristinel
20
2011
Sharp bounds of the Landau constants. Zbl 1232.41038
Mortici, Cristinel
18
2011
On the gamma function approximation by Burnside. Zbl 1254.30049
Mortici, Cristinel
12
2011
Refinements of Gurland’s formula for pi. Zbl 1231.33002
Mortici, Cristinel
10
2011
On the monotonicity and convexity of the remainder of the Stirling formula. Zbl 1216.33008
Mortici, Cristinel
7
2011
A substantial improvement of the Stirling formula. Zbl 1216.33009
Mortici, Cristinel
5
2011
Accurate estimates of the gamma function involving the PSI function. Zbl 1226.33001
Mortici, Cristinel
5
2011
Accurate approximations of the Mathieu series. Zbl 1217.33014
Mortici, Cristinel
3
2011
Sharp form of inequality for the constant \(e\). Zbl 1249.11114
Chen, Chao-Ping; Mortici, Cristinel
3
2011
A new refinement of the Radon inequality. Zbl 1244.26046
Mortici, Cristinel
3
2011
The quotient of gamma functions by the psi function. Zbl 1247.33007
Mortici, Cristinel
3
2011
New sharp bounds for gamma and digamma functions. Zbl 1224.30180
Mortici, Cristinel
2
2011
New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality. Zbl 1218.33001
Mortici, Cristinel
2
2011
On a sum of the psi function with a logarithm. Zbl 1264.33005
Mortici, Cristinel
2
2011
Refinements of some bounds related to the constant \(e\). Zbl 1240.33002
Mortici, Cristinel
2
2011
A converse of the mean value theorem made easy. Zbl 1273.97035
Mortici, Cristinel
1
2011
A Carleman’s inequality refinement note. Zbl 1289.26052
Mortici, Cristinel; Yue, Hu
1
2011
New sharp double inequalities for bounding the gamma and digamma function. Zbl 1274.30149
Mortici, Cristinel; Chen, Chao-Ping
1
2011
Product approximations via asymptotic integration. Zbl 1214.40002
Mortici, Cristinel
124
2010
Very accurate estimates of the polygamma functions. Zbl 1204.33003
Mortici, Cristinel
53
2010
On new sequences converging towards the Euler-Mascheroni constant. Zbl 1193.33003
Mortici, Cristinel
53
2010
New approximations of the gamma function in terms of the digamma function. Zbl 1183.33003
Mortici, Cristinel
47
2010
New improvements of the Stirling formula. Zbl 1202.33004
Mortici, Cristinel
43
2010
A quicker convergence toward the \(\gamma\) constant with the logarithm term involving the constant \(e\). Zbl 1212.33001
Mortici, Cristinel
39
2010
New approximation formulas for evaluating the ratio of gamma functions. Zbl 1201.33003
Mortici, Cristinel
38
2010
Optimizing the rate of convergence in some new classes of sequences convergent to Euler’s constant. Zbl 1185.26047
Mortici, Cristinel
35
2010
Sharp inequalities related to Gosper’s formula. Zbl 1186.33004
Mortici, Cristinel
34
2010
Best estimates of the generalized Stirling formula. Zbl 1186.33003
Mortici, Cristinel
34
2010
Ramanujan formula for the generalized Stirling approximation. Zbl 1211.40005
Mortici, Cristinel
30
2010
Improved convergence towards generalized Euler-Mascheroni constant. Zbl 1186.11076
Mortici, Cristinel
29
2010
A class of integral approximations for the factorial function. Zbl 1189.33005
Mortici, Cristinel
28
2010
Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\). Zbl 1225.33006
Mortici, Cristinel
24
2010
Estimating the Somos’ quadratic recurrence constant. Zbl 1208.40002
Mortici, Cristinel
19
2010
The proof of Muqattash-Yahdi conjecture. Zbl 1205.33003
Mortici, Cristinel
17
2010
Fast convergences towards Euler-Mascheroni constant. Zbl 1206.41019
Mortici, Cristinel
17
2010
The asymptotic series of the generalized Stirling formula. Zbl 1201.33002
Mortici, Cristinel
16
2010
Sharp inequalities and complete monotonicity for the Wallis ratio. Zbl 1209.26026
Mortici, Cristinel
16
2010
A new method for establishing and proving accurate bounds for the Wallis ratio. Zbl 1206.33006
Mortici, Cristinel
12
2010
Asymptotic expansions of the generalized Stirling approximations. Zbl 1205.33028
Mortici, Cristinel
11
2010
Estimating gamma function by digamma function. Zbl 1202.33005
Mortici, Cristinel
8
2010
New sharp inequalities for approximating the factorial function and the digamma function. Zbl 1224.30179
Mortici, Cristinel
8
2010
On the generalized Stirling formula. Zbl 1212.40008
Mortici, Cristinel
5
2010
...and 27 more Documents
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Cited by 471 Authors

71 Chen, Chaoping
63 Mortici, Cristinel
39 Lu, Dawei
30 Yang, Zhenhang
26 Malešević, Branko J.
23 You, Xu
18 Qi, Feng
18 Zhu, Ling
17 Chu, Yuming
14 Song, Lixin
14 Tian, Jingfeng
13 Lutovac, Tatjana
12 Chen, Xiaodiao
11 Bagul, Yogesh Jibhau
11 Lampret, Vito
10 Bercu, Gabriel
10 El-Fassi, Iz-Iddine
10 Lin, Long
10 Rašajski, Marija
9 Banjac, Bojan D.
9 Brzdęk, Janusz
9 Srivastava, Hari Mohan
9 Wang, Xiaoguang
8 Chen, Dirong
8 Paris, Richard Bruce
7 Wang, Weiping
7 Xu, Aimin
6 Chesneau, Christophe
6 Han, Xuefeng
6 Popa, Dorian
5 Choi, Junesang
5 Dhaigude, Ramkrishna M.
5 Guo, Bai-Ni
5 Ma, Congxu
5 Monea, Mihai
5 Nantomah, Kwara
4 Batir, Necdet
4 Cao, Xiaodong
4 Cristea, Valentin Gabriel
4 Elezović, Neven
4 Jung, Soon-Mo
4 Kostić, Marko
4 Leśniak, Zbigniew
4 Ma, Xuesi
4 Marinescu, Dan Ştefan
4 Nenezić, Marija
4 Nishizawa, Yusuke
4 Onitsuka, Masakazu
4 Rassias, Themistocles Michael
4 Salem, Ahmed
4 Suparatulatorn, Raweerote
4 Wang, Yigang
4 Wu, Shanhe
4 Zhang, Xiaohui
3 Agarwal, Ravi P.
3 Asiru, Muniru Aderemi
3 Baias, Alina-Ramona
3 Ciepliński, Krzysztof
3 Cringanu, Jenica C.
3 El-hady, El-sayed
3 Feng, Lei
3 Hu, Yue
3 Jahedi, Sedigheh
3 Kabbaj, Samir
3 Keshavarz, Vahid
3 Ma, Wen-Xiu
3 Park, Choonkil
3 Shchesnovich, Valery S.
3 Shen, Yonghong
3 Yang, Kang
3 Yin, Li
3 Yu, Yang
3 Zhang, Bo
3 Zhang, Lina
3 Zhang, Wen
3 Zhao, Yuqiu
3 Zheng, Shenzhou
2 Adell, José Antonio
2 Ajebbar, Omar
2 Berg, Christian
2 Bhayo, Barkat Ali
2 Burić, Tomislav
2 Cădariu, Liviu I.
2 Charoensawan, Phakdi
2 Chen, Ligeng
2 Chu, Hong-Hu
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 Hassani, Mehdi
2 Huang, Liguo
2 Huang, Shouyou
2 Huang, TiRen
...and 371 more Authors
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Cited in 129 Serials

72 Journal of Inequalities and Applications
45 Applied Mathematics and Computation
42 Results in Mathematics
32 Journal of Mathematical Analysis and Applications
32 Journal of Number Theory
26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
20 Journal of Mathematical Inequalities
17 The Ramanujan Journal
17 Applicable Analysis and Discrete Mathematics
11 Journal of Fixed Point Theory and Applications
9 Computers & Mathematics with Applications
9 Applied Mathematics Letters
9 Numerical Algorithms
7 Integral Transforms and Special Functions
7 Mathematical Inequalities & Applications
6 Mathematical and Computer Modelling
5 International Journal of Mathematical Education in Science and Technology
5 Mediterranean Journal of Mathematics
5 Journal of Function Spaces
4 Journal of Computational and Applied Mathematics
4 Computational and Applied Mathematics
4 Communications of the Korean Mathematical Society
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Advances in Difference Equations
4 Problemy Analiza. Issues of Analysis
4 Journal of Mathematics
4 Moroccan Journal of Pure and Applied Analysis
3 Filomat
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Cubo
3 Tbilisi Mathematical Journal
3 Open Mathematics
2 Bulletin of the Australian Mathematical Society
2 BIT
2 Demonstratio Mathematica
2 Journal of Approximation Theory
2 Monatshefte für Mathematik
2 Proceedings of the American Mathematical Society
2 Bulletin of the Iranian Mathematical Society
2 Journal of Symbolic Computation
2 Aequationes Mathematicae
2 The Journal of Analysis
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 Applied Mathematics E-Notes
2 Analysis and Applications (Singapore)
2 International Journal of Quantum Information
2 Optimization Letters
2 Involve
2 Journal of Nonlinear Science and Applications
2 São Paulo Journal of Mathematical Sciences
2 Analysis and Mathematical Physics
2 Journal of Classical Analysis
2 Mathematics
2 Sahand Communications in Mathematical Analysis
2 AIMS Mathematics
2 Constructive Mathematical Analysis
1 The American Statistician
1 International Journal of Control
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Notes
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Information Sciences
1 Journal of the London Mathematical Society. Second Series
1 Mathematica Slovaca
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Real Analysis Exchange
1 Transactions of the American Mathematical Society
1 Journal of Complexity
1 Constructive Approximation
1 Facta Universitatis. Series Mathematics and Informatics
1 Journal of Scientific Computing
1 Differential Geometry and its Applications
1 Annals of Physics
1 Elemente der Mathematik
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Continuum Mechanics and Thermodynamics
1 Tatra Mountains Mathematical Publications
1 Journal of Mathematical Sciences (New York)
1 International Journal of Computer Vision
1 Georgian Mathematical Journal
1 Finite Fields and their Applications
1 The Electronic Journal of Combinatorics
1 Engineering Analysis with Boundary Elements
1 Positivity
1 Novi Sad Journal of Mathematics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Chaos
...and 29 more Serials
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Cited in 43 Fields

276 Special functions (33-XX)
250 Real functions (26-XX)
183 Approximations and expansions (41-XX)
118 Number theory (11-XX)
60 Difference and functional equations (39-XX)
55 Sequences, series, summability (40-XX)
36 Operator theory (47-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
31 Numerical analysis (65-XX)
22 Ordinary differential equations (34-XX)
19 Functions of a complex variable (30-XX)
13 Functional analysis (46-XX)
12 Combinatorics (05-XX)
9 Partial differential equations (35-XX)
9 Probability theory and stochastic processes (60-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Integral transforms, operational calculus (44-XX)
7 Statistics (62-XX)
7 Quantum theory (81-XX)
7 Mathematics education (97-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Computer science (68-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
3 Field theory and polynomials (12-XX)
3 Integral equations (45-XX)
3 Information and communication theory, circuits (94-XX)
2 Geometry (51-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Systems theory; control (93-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 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year