vix.ing · top · new · best · stats · spec

Asymptotic analysis of a Selberg-type integral via hypergeometrics

2010/04/22 by Christian Krattenthaler, Krattenthaler, Christian
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Analytic Number Theory Research #Mathematical functions and polynomials #cond-mat.mes-hall #math-ph #math.CA #math.CO #math.MP #msc:33A15 #msc:33C20 #msc:33C52 #msc:60B20 #msc:82B05

paper · pdf · doi:10.48550/arxiv.1004.3941

AmS-TeX, 6 pages

arxiv created 2010/04/22 · arxiv updated 2010/08/18

Abstract

We show how to determine the asymptotics of a certain Selberg-type integral by means of tools available in the theory of (generalised) hypergeometric series. This provides an alternative derivation of a result of Carré, Deneufchâtel, Luque and Vivo [arXiv:1003.5996].

Related