On the Barnes double gamma function

DOI10.1080/10652469.2023.2238115arXiv2208.13876OpenAlexW4384942666MaRDI QIDQ6066224

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Publication date: 15 November 2023

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.13876

zbMATH Keywords

asymptotic expansionBernoulli numbersBarnes double gamma function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Numerical approximation and evaluation of special functions (33F05) Asymptotic representations in the complex plane (30E15)

Cites Work

• Unnamed Item
• On extrema of stable processes
• The Barnes G function and its relations with sums and products of generalized gamma convolution variables
• A proof of the classical Kronecker limit formula
• Density solutions to a class of integro-differential equations
• Fluctuations of stable processes and exponential functionals of hypergeometric Lévy processes
• Computing the Barnes \(G\)-function and the gamma function in the entire complex plane
• An elliptic analogue of the multiple gamma function
• On the Theorem of Frullani
• Uniform asymptotic expansions for the Barnes double gamma function
• Exact solution to a class of functional difference equations with application to a moving contact line flow
• A Precision Approximation of the Gamma Function
• On Barnes' multiple zeta and gamma functions
• Random matrix theory and \(\zeta(1/2+it)\).
• An asymptotic expansion of the double gamma function

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