The multiple gamma function and its q-analogue
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.q-alg/9602033,
title = {The multiple gamma function and its q-analogue},
author = {Kimio Ueno and Michitomo Nishizawa},
journal= {arXiv preprint arXiv:q-alg/9602033},
year = {2008}
}
Comments
Latex, 15 pages