Multiple gamma and related functions
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Publication:1855951
DOI10.1016/S0096-3003(01)00301-0zbMath1026.33003MaRDI QIDQ1855951
Junesang Choi, Hari M. Srivastava, Victor S. Adamchik
Publication date: 28 January 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Hurwitz zeta functionRiemann zeta functionmultiple gamma functionsdeterminants of LaplaciansClausen integralsseries involving zeta function
Related Items (30)
Bounds for triple gamma functions and their ratios ⋮ Multiple Gamma Functions and Their Applications ⋮ Integral and series representations of Riemann's zeta function and Dirichlet's eta function and a medley of related results ⋮ Ramanujan formula for the generalized Stirling approximation ⋮ On the Hurwitz function for rational arguments ⋮ Some mathematical constants ⋮ Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals ⋮ Estimating the digamma and trigamma functions by completely monotonicity arguments ⋮ Series representations for the Apéry constant \(\zeta (3)\) involving the values \(\zeta (2n)\) ⋮ Closed-form calculation of infinite products of Glaisher-type related to Dirichlet series ⋮ A set of mathematical constants arising naturally in the theory of the multiple Gamma functions ⋮ On the convergence of Nekrasov functions ⋮ Hankel determinant and orthogonal polynomials for a perturbed Gaussian weight: From finite n to large n asymptotics ⋮ Explicit descriptions of spectral properties of Laplacians on spheres \(\mathbb{S}^N\) \((N\ge 1)\): a review ⋮ Unnamed Item ⋮ Special functions related to Dedekind-type DC-sums and their applications ⋮ Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function ⋮ Several polynomials associated with the harmonic numbers ⋮ More asymptotic expansions for the Barnes \(G\)-function ⋮ Integrals associated with the multiple gamma function ⋮ Series involving the zeta function and multiple Gamma functions ⋮ The multiple gamma function and its application to computation of series ⋮ Best estimates of the generalized Stirling formula ⋮ Symbolic and numeric computations of the Barnes function ⋮ New improvements of the Stirling formula ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function ⋮ Inequalities for the double gamma function ⋮ Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble ⋮ Unnamed Item ⋮ Glaisher–Kinkelin constant
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