A set of mathematical constants arising naturally in the theory of the multiple Gamma functions

DOI10.1155/2012/121795zbMath1256.33002OpenAlexW2006476266WikidataQ58694855 ScholiaQ58694855MaRDI QIDQ1938115

Junesang Choi

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/121795

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Evaluation of number-theoretic constants (11Y60)

Related Items (11)

Multiple Gamma Functions and Their Applications ⋮ Some approximations of Glaisher-Kinkelin and Bendersky-Adamchik constants ⋮ Some asymptotic expansions on hyperfactorial functions and generalized Glaisher-Kinkelin constants ⋮ Some new quicker approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants ⋮ Closed-form calculation of infinite products of Glaisher-type related to Dirichlet series ⋮ 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 ⋮ Some new quicker convergences to Glaisher-Kinkelin's and Bendersky-Adamchik's constants ⋮ Asymptotic expansions related to hyperfactorial function and Glaisher-Kinkelin constant ⋮ More asymptotic expansions for the Barnes \(G\)-function ⋮ Some new approximations of Glaisher-Kinkelin's and Bendersky-Adamchik's constants by continued fraction

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
• Extremals of determinants of Laplacians
• Certain classes of series involving the zeta function
• Polygamma functions of negative order
• Certain classes of series associated with the zeta function and multiple gamma functions
• Zeta regularized products and functional determinants on spheres
• Sur la fonction gamma généralisée
• Multiple gamma and related functions
• Glaisher–Kinkelin constant
• Determinants of Laplacians and Multiple Gamma Functions
• AN APPLICATION OF THE THEORY OF THE DOUBLE GAMMA FUNCTION
• The determinant of the Laplacian on the n-sphere
• Some series involving the zeta function

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