Asymptotic expansions of the Glaisher-Kinkelin and Choi-Srivastava constants

DOI10.1016/J.JNT.2014.04.017zbMath1312.11093OpenAlexW2090524323MaRDI QIDQ404327

Jun-Xiang Cheng, Chao-Ping Chen

Publication date: 4 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.04.017

zbMATH Keywords

asymptotic expansionBernoulli numbersGlaisher-Kinkelin constantChoi-Srivastava constants

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Convergence and divergence of series and sequences (40A05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Evaluation of number-theoretic constants (11Y60)

Related Items (10)

Some asymptotic expansions on hyperfactorial functions and generalized Glaisher-Kinkelin constants ⋮ Asymptotic expansions and complete monotonicity properties for the Barnes \(G\)-function ⋮ Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ New asymptotic expansions on hyperfactorial functions ⋮ Asymptotic expansions related to hyperfactorial function and Glaisher-Kinkelin constant ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ More asymptotic expansions for the Barnes \(G\)-function ⋮ Asymptotic expansions for certain mathematical constants and special functions ⋮ Asymptotic expansions related to the Glaisher-Kinkelin constant and its analogues ⋮ Some new properties of the Barnes G-function and related results

Cites Work

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• Application of Faà di Bruno's formula in characterization of inverse relations
• Some mathematical constants
• Certain classes of series involving the zeta function
• Certain classes of series associated with the zeta function and multiple gamma functions
• Asymptotic expansions for Barnes \(G\)-function
• Asymptotic expansions related to Glaisher-Kinkelin constant based on the Bell polynomials
• Glaisher–Kinkelin constant

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