Loading…

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

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 approximants relat...

Full description

Saved in:
Bibliographic Details
Published in:Journal of inequalities and applications 2022-11, Vol.2022 (1), p.1-12, Article 147
Main Authors: Das, Sourav, Swaminathan, A.
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 approximants related to the triple gamma function are derived as a consequence. The results obtained are new, and their importance is demonstrated by deducing several interesting remarks and corollaries.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02880-3