Asymptotic analysis of a Selberg-type integral via hypergeometrics

TL;DR

This paper presents an asymptotic analysis of a Selberg-type integral using hypergeometric series techniques, offering an alternative derivation of a known result in the field.

Contribution

It introduces a novel method for deriving the asymptotics of Selberg-type integrals through hypergeometric series, expanding analytical tools available for such integrals.

Findings

Derived the asymptotics of a specific Selberg-type integral.

Provided an alternative proof to a known result by Carré et al.

Demonstrated the applicability of hypergeometric series in asymptotic analysis.

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 Carr\'e, Deneufch\^atel, Luque and Vivo [arXiv:1003.5996].