We give an asymptotic expansion (the higher Stirling formula) and an infinite product representation (the Weierstrass canonical product representation) of the Vigneras multiple gamma functions by considering the classical limit of the multiple q-gamma functions.
Cite this article
Kimio Ueno, Michitomo Nishizawa, Multiple Gamma Functions and Multiple <i>q</i>-Gamma Functions. Publ. Res. Inst. Math. Sci. 33 (1997), no. 5, pp. 813–838DOI 10.2977/PRIMS/1195145019