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

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

Abstract In this work, our main focus is to establish asymptotic expansions for the triple gamma function in terms of the triple Bernoulli polynomials. As application, an asymptotic expansion for hyperfactorial function is also obtained. Furthermore, using these asymptotic expansions, Padé approxima...

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Bibliographic Details
Main Authors: Sourav Das, A. Swaminathan
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Journal of Inequalities and Applications
Subjects:
Multiple gamma function
Asymptotic expansion
Triple Bernoulli polynomial
Approximation
Padé approximant
Online Access:https://doi.org/10.1186/s13660-022-02880-3

Internet

https://doi.org/10.1186/s13660-022-02880-3

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