On the monotonicity and convexity of the remainder of the Stirling formula

Cristinel Mortici

Type: Article

Publication Date: 2011-01-06

Citations: 11

DOI: https://doi.org/10.1016/j.aml.2010.12.034

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Locations

Applied Mathematics Letters - View

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Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	Integral representations and complete monotonicity related to the remainder of Burnside’s formula for the gamma function	2014	Feng Qi
+ PDF Chat	On completely monotonic and related functions	2016	Senlin Guo
+ PDF Chat	Asymptotic Analysis	2022	Jean‐Luc Marichal Naïm Zénaïdi
+	A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions	2022	Jean‐Luc Marichal Naïm Zénaïdi
+	A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions	2020	Jean‐Luc Marichal Naïm Zénaïdi
+	Complete characterizations of the gamma function	2014	Songbai Guo Wanbiao Ma B. G. Sampath Aruna Pradeep
+	Some inequalities and monotonicity properties associated with the gamma and psi functions	2012	Chao-Ping Chen Necdet Batır
+	On Stirling’s formula remainder	2014	Long Lin
+	Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function	2016	Feng Qi Bai‐Ni Guo
+	A note on complete monotonicity of the remainder in stirling’s formula	2015	Songbai Guo Youjian Shen X. Li

Works Cited by This (13)

Action	Title	Year	Authors
+	Very accurate estimates of the polygamma functions	2010	Cristinel Mortici
+	Inequalities for the Gamma and Polygamma Functions	1998	Horst Alzer
+	Monotonicity properties of the volume of the unit ball in $${\mathbb{R}^{n}}$$	2010	Cristinel Mortici
+	An ultimate extremely accurate formula for approximation of the factorial function	2009	Cristinel Mortici
+ PDF Chat	Some gamma function inequalities	1993	Horst Alzer
+ PDF Chat	On some inequalities for the gamma and psi functions	1997	Horst Alzer
+	A class of integral approximations for the factorial function	2009	Cristinel Mortici
+	The proof of Muqattash–Yahdi conjecture	2010	Cristinel Mortici
+ PDF Chat	A COURSE IN MODERN ANALYSIS.	1903	Arthur S. Hathaway
+	A new asymptotic series for the Gamma function	2005	Xiquan Shi Fengshan Liu Minghan Hu