The multiple gamma function and its q-analogue
Volume 40 / 1997
Banach Center Publications 40 (1997), 429-441
DOI: 10.4064/-40-1-429-441
Abstract
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.
