New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function

DOI10.7153/mia-2018-21-65zbMath1403.33001OpenAlexW2898400159WikidataQ129048087 ScholiaQ129048087MaRDI QIDQ4561078

Pedro J. Pagola

Publication date: 10 December 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2018-21-65

zbMATH Keywords

error boundsasymptotic expansionsreciprocal gamma function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• A systematization of the saddle point method. Application to the Airy and Hankel functions
• The moment problem for some Wiener functionals: corrections to previous proofs (with an appendix by H. L. Pedersen)
• Monotonicity and logarithmic concavity of two functions involving exponential function
• Hyperasymptotics for integrals with saddles
• On some exponential functionals of Brownian motion
• Gamma function asymptotics by an extension of the method of steepest descents
• Error bounds and exponential improvements for the asymptotic expansions of the gamma function and its reciprocal

This page was built for publication: New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function