A kind of new continued fraction approximation of gamma function based on Mortici's formula

DOI10.1007/s00025-017-0690-8zbMath1432.41006OpenAlexW2615370691MaRDI QIDQ1682582

Dawei Lu, Tianyi Qu, Xiaoguang Wang

Publication date: 30 November 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-017-0690-8

zbMATH Keywords

gamma functionrate of convergenceerror estimatesexponentcontinued fraction

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A new asymptotic expansion and some inequalities for the gamma function
• On Ramanujan's large argument formula for the gamma function
• Efficient approximations of the gamma function and further properties
• Fast convergences towards Euler-Mascheroni constant
• A new Stirling series as continued fraction
• Improved asymptotic formulas for the gamma function
• New asymptotic expansion for the gamma function
• An ultimate extremely accurate formula for approximation of the factorial function
• A continued fraction approximation of the gamma function
• Product Approximations via Asymptotic Integration
• Decision procedure for indefinite hypergeometric summation
• On some inequalities for the gamma and psi functions

This page was built for publication: A kind of new continued fraction approximation of gamma function based on Mortici's formula