Asymptotic formulas for the triple gamma function \(\varGamma _{3}\) by means of its integral representation
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Publication:425451
DOI10.1016/j.amc.2011.08.002zbMath1241.33003OpenAlexW1999013963MaRDI QIDQ425451
Junesang Choi, Hari M. Srivastava
Publication date: 8 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.002
gammaBernoulli numbersdoubleBohr-Mollerup theoremdeterminants of the LaplaciansEuler-Mascheroni and Glaisher-Kinkelin constantHurwitz (or generalized) Zeta functionpsi (or Digamma) functionRiemann Zeta functiontriple and multiple Gamma functions
Related Items (9)
Complete characterizations of the gamma function ⋮ Multiple Gamma Functions and Their Applications ⋮ 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 ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ Asymptotic expansions for certain mathematical constants and special functions ⋮ Some two-sided inequalities for multiple Gamma functions and related results ⋮ Approximations for the ratio of the gamma functions via the digamma function and its applications ⋮ Some new properties of the Barnes G-function and related results
Uses Software
Cites Work
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