Uniform asymptotic expansions for the Barnes double gamma function

DOI10.1098/rspa.1997.0098zbMath0926.33001OpenAlexW1969107152MaRDI QIDQ4254229

A. C. King, John Billingham

Publication date: 29 November 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1997.0098

zbMATH Keywords

matched asymptotic expansionsBarnes double gamma functionacoustic wave diffraction

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (15)

Spectral heat content for \(\alpha \)-stable processes in \({C^{1,1}}\) open sets ⋮ First passage times over stochastic boundaries for subdiffusive processes ⋮ Some identities of Barnes-type special polynomials ⋮ Multiple Gamma Functions and Their Applications ⋮ Density solutions to a class of integro-differential equations ⋮ On the Barnes double gamma function ⋮ Fluctuations of stable processes and exponential functionals of hypergeometric Lévy processes ⋮ Asymptotic formulas for the triple gamma function \(\varGamma _{3}\) by means of its integral representation ⋮ More asymptotic expansions for the Barnes \(G\)-function ⋮ On extrema of stable processes ⋮ An asymptotic expansion of the double gamma function ⋮ Fractional extreme distributions ⋮ Some two-sided inequalities for multiple Gamma functions and related results ⋮ A review of conjectured laws of total mass of Bacry–Muzy GMC measures on the interval and circle and their applications ⋮ Asymptotic expansions of the double zeta function

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