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Multiple Gamma Functions and Their Applications (Q3193143)

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scientific article

Language	Label	Description	Also known as
English	Multiple Gamma Functions and Their Applications	scientific article

Statements

scholarly article

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Multiple Gamma Functions and Their Applications (English)

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Analytic Number Theory, Approximation Theory, and Special Functions

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publication date

15 October 2015

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/978-1-4939-0258-3_4

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Polygamma functions of negative order

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On the Barnes function

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The multiple gamma function and its application to computation of series

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Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\)

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Sub- and superadditive properties of Euler's gamma function

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Some Series Involving the Riemann Zeta Function

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Inequalities for the double gamma function

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Uniform asymptotic expansions for the Barnes double gamma function

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Inequalities associated with Barnes \(G\)-function

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Glaisher–Kinkelin constant

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Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes<i>G</i>-function

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Explicit formulas for Bernoulli polynomials of order \(n\)

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Some mathematical constants

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

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DETERMINANTS OF THE LAPLACIANS ON THE n-DIMENSIONAL UNIT SPHERE S<sup>n</sup>(n = 8, 9)

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Series involving the zeta function and multiple Gamma functions

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A generalizationof Wilf's formula

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Identities involving series of the Riemann zeta function

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Sums associated with the zeta function

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Certain classes of series involving the zeta function

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AN APPLICATION OF THE THEORY OF THE DOUBLE GAMMA FUNCTION

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Certain classes of series associated with the zeta function and multiple gamma functions

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A certain class of series associated with the zeta function

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A certain family of series associated with the zeta and related functions.

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A family of log-gamma integrals and associated results

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Certain families of series associated with the Hurwitz--Lerch zeta function

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Some applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integrals

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Integral representations for the Gamma function, the Beta function, and the Double Gamma function

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Integral Representations for the Euler-Mascheroni Constant γ

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Mathieu series and associated sums involving the zeta functions

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Asymptotic formulas for the triple gamma function \(\varGamma _{3}\) by means of its integral representation

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The multiple Hurwitz zeta function and the multiple Hurwitz-Euler eta function

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Some two-sided inequalities for multiple Gamma functions and related results

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Some series involving the zeta function

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Integrals involving a function associated with the Euler-Maclaurin summation formula

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Multiple gamma and related functions

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On determinants of Laplacians on Riemann surfaces

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Derivative of the generalised Riemann zeta function ζ(z,q) at z=-1

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An Asymptotic Expansion for the First Derivative of the Generalized Riemann Zeta Function

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An integral involving the generalized zeta function

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An asymptotic expansion of the double gamma function

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Shintani-Barnes zeta and gamma functions

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Sums involving the Hurwitz zeta function

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Euler's Constant to 1271 Places

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On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function

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Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function

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Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function

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The determinant of the Laplacian on the n-sphere

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Asymptotic series for double zeta, double gamma, and Hecke <i>L</i>-functions

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New improvements of the Stirling formula

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On a \(q\)-analogue of the multiple gamma functions

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Multiple gamma function, its \(q\)- and elliptic analogue.

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Extremals of determinants of Laplacians

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Some completely monotonic functions involving polygamma functions and an application

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Logarithmically completely monotonic functions concerning gamma and digamma functions

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Zeta regularized products and functional determinants on spheres

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Zeta Regularized Products

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First order analytic difference equations and integrable quantum systems

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On Barnes' multiple zeta and gamma functions

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Determinants of Laplacians

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A proof of the classical Kronecker limit formula

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Sums of certain series of the Riemann zeta function

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Some rapidly converging series for $\zeta (2n+1)$

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Determinants of Laplacians and Multiple Gamma Functions

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Spectral functions, special functions and the Selberg zeta function

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describes a project that uses

Digital Library of Mathematical Functions

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4939-0258-3_4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3193143

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