Some mathematical constants

DOI10.1016/j.amc.2006.08.091zbMath1117.33003OpenAlexW1967297905MaRDI QIDQ884098

Junesang Choi

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.091

zbMATH Keywords

Euler-Maclaurin summation formulaStirling's formulaGlaisher-Kinkelin constantEuler-Mascheroni constantBendersky-Adamchik constantsdeterminants of Laplaciansgamma and multiple gamma functionsRiemann and Hurwitz zeta functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (27)

Multiple Gamma Functions and Their Applications ⋮ Ramanujan formula for the generalized Stirling approximation ⋮ Some asymptotic expansions on hyperfactorial functions and generalized Glaisher-Kinkelin constants ⋮ Estimating the digamma and trigamma functions by completely monotonicity arguments ⋮ Asymptotic expansions of the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ Approximations to the Euler-Mascheroni constant ⋮ A set of mathematical constants arising naturally in the theory of the multiple Gamma functions ⋮ Inequalities for the Lugo and Euler-Mascheroni constants ⋮ Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ New representations for the Lugo and Euler-Mascheroni constants. II ⋮ Approximating the constants of Glaisher-Kinkelin type ⋮ Asymptotic expansions related to Glaisher-Kinkelin constant based on the Bell polynomials ⋮ Gauss's theorem and harmonic number summation formulae with certain mathematical constants ⋮ Asymptotic expansions related to hyperfactorial function and Glaisher-Kinkelin constant ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ Symmetric function theory and unitary invariant ensembles ⋮ Asymptotic expansions for certain mathematical constants and special functions ⋮ Inequalities associated with Barnes \(G\)-function ⋮ New representations for the Lugo and Euler-Mascheroni constants ⋮ Best estimates of the generalized Stirling formula ⋮ Continued fraction estimates for the psi function ⋮ New improvements of the Stirling formula ⋮ Asymptotic expansions related to the Glaisher-Kinkelin constant and its analogues ⋮ Inequalities for the double gamma function ⋮ On squares of odd zeta values and analogues of Eisenstein series ⋮ Glaisher–Kinkelin constant ⋮ Some new properties of the Barnes G-function and related results

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