The multiple gamma functions and the multiple q-gamma functions
q-alg
2008-02-03 v2 量子代数
摘要
We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass product representation) of the Vign\'{e}ras multiple gamma functions by considering the classical limit of the multiple q-gamma functions.
引用
@article{arxiv.q-alg/9605002,
title = {The multiple gamma functions and the multiple q-gamma functions},
author = {Kimio Ueno and Michitomo Nishizawa},
journal= {arXiv preprint arXiv:q-alg/9605002},
year = {2008}
}
备注
AMS-Latex, 40 pages. Minor changes have been made