Glaisher–Kinkelin constant

DOI10.1080/10652469.2011.632501zbMath1300.11135OpenAlexW2035560907MaRDI QIDQ3144966

Chao-Ping Chen

Publication date: 13 December 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.632501

zbMATH Keywords

inequalityasymptotic formulaGlaisher-Kinkelin constantEuler-MacLaurin formulalimit of sequence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Evaluation of number-theoretic constants (11Y60)

Related Items (15)

Multiple Gamma Functions and Their Applications ⋮ Asymptotic expansions for Barnes \(G\)-function ⋮ Some asymptotic expansions on hyperfactorial functions and generalized Glaisher-Kinkelin constants ⋮ Asymptotic expansions of the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ A set of mathematical constants arising naturally in the theory of the multiple Gamma functions ⋮ 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 ⋮ Asymptotic expansions related to Glaisher-Kinkelin constant based on the Bell polynomials ⋮ 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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• Series involving the zeta function and multiple Gamma functions
• Some mathematical constants
• Spectral functions, special functions and the Selberg zeta function
• Certain classes of series involving the zeta function
• Certain classes of series associated with the zeta function and multiple gamma functions
• Multiple gamma and related functions
• Determinants of Laplacians and Multiple Gamma Functions

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