A note on complete monotonicity of the remainder in Stirling's formula

DOI10.1134/S0001434615050326zbMath1323.33006MaRDI QIDQ745646

Songbai Guo, Youjian Shen, Xi-liang Li

Publication date: 14 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Laplace transformsgamma and polygamma functionsStirling's formulacomplete monotonicity and strongly complete monotonicity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Approximation to limiting values (summation of series, etc.) (40A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complete characterizations of the gamma function
• The asymptotic series of the generalized Stirling formula
• Complete monotonicity results for some functions involving the gamma and polygamma functions
• Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
• Completely monotonic and related functions
• Properties of certain sequences related to Stirling's approximation for the gamma function
• On some properties of the gamma function
• On the monotonicity and convexity of the remainder of the Stirling formula
• Infinite family of approximations of the digamma function
• A new asymptotic series for the gamma function
• Superadditive Functions and a Statistical Application
• Completely monotonic functions
• On some inequalities for the gamma and psi functions

This page was built for publication: A note on complete monotonicity of the remainder in Stirling's formula