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

Author:

Das SouravORCID,Swaminathan A.ORCID

Abstract

AbstractIn 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference20 articles.

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5. Brezinski, C., Redivo-Zaglia, M.: New representations of Padé, Padé-type, and partial Padé approximants. J. Comput. Appl. Math. 284, 69–77 (2015)

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