New asymptotic expansions and Padé approximants related to the triple gamma function

DOI10.1186/s13660-022-02880-3OpenAlexW4309713920MaRDI QIDQ6062367

Anbhu Swaminathan, Sourav Das

Publication date: 30 November 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-022-02880-3

zbMATH Keywords

asymptotic expansionapproximationmultiple gamma functionPadé approximanttriple Bernoulli polynomial

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Padé approximation (41A21)

Cites Work

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• Bounds for triple gamma functions and their ratios
• More asymptotic expansions for the Barnes \(G\)-function
• Padé approximant related to asymptotics for the gamma function
• Multiple gamma functions and multiple \(q\)-gamma functions
• Inequalities involving the multiple psi function
• New representations of Padé, Padé-type, and partial Padé approximants
• Asymptotic expansions for Barnes \(G\)-function
• Multiple Gamma Functions and Their Applications
• The Gamma Function: An Eclectic Tour
• On Barnes' multiple zeta and gamma functions
• An asymptotic expansion of the double gamma function

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