We give an asymptotic expansion (the higher Stirling formula) and an infinite
product representation (the Weierstrass product formula) of the Vign\'{e}ras
multiple gamma function by considering the classical limit of the multiple
q-gamma function.Comment: Latex, 15 page

Nishizawa, Michitomo

Ueno, Kimio

English

arXiv

We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product formula) of the Vignéras multiple gamma function by considering the classical limit of the multiple q-gamma function

The multiple gamma function and its q-analogue

Abstract

Similar works

Full text

Available Versions

Biblioteka Nauki - repozytorium artykuÅÃ³w