Nishizawa, Michitomo An elliptic analogue of the multiple gamma function. (English) Zbl 0993.33016 J. Phys. A, Math. Gen. 34, No. 36, 7411-7421 (2001). The author introduces an elliptic analogue of Barnes’s multiple gamma function, which generalizes the elliptic gamma function of S. N. M. Ruijsenaars [J. Math. Phys. 38, No. 2, 1069-1146 (1997; Zbl 0877.39002)]. The fundamental properties of this function are given. Reviewer: Hjalmar Rosengren (Göteborg) Cited in 2 ReviewsCited in 15 Documents MSC: 33E05 Elliptic functions and integrals 33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\) Keywords:mutiple gamma function; elliptic gamma function Citations:Zbl 0877.39002 PDFBibTeX XMLCite \textit{M. Nishizawa}, J. Phys. A, Math. Gen. 34, No. 36, 7411--7421 (2001; Zbl 0993.33016) Full Text: DOI