Improvements of asymptotic approximation formulas for the factorial function

DOI10.2298/AADM181224041BzbMath1499.41096OpenAlexW2995545323WikidataQ126556074 ScholiaQ126556074MaRDI QIDQ5028831

Tomislav Burić

Publication date: 10 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm181224041b

zbMATH Keywords

gamma functionasymptotic expansionsfactorial function

Mathematics Subject Classification ID

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

Cites Work

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• Unified treatment of several asymptotic formulas for the gamma function
• Improved asymptotic formulas for the gamma function
• A class of integral approximations for the factorial function
• New asymptotic expansion for the gamma function
• The special functions and their approximations. Vol. I, II
• Very accurate approximations for the factorial function
• More accurate approximations for the Gamma function
• On the asymptotic representation of the Euler gamma function by Ramanujan
• Unified approaches to the approximations of the gamma function

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