Kodai Mathematical Journal
- Kodai Math. J.
- Volume 32, Number 1 (2009), 77-90.
Weierstrass product representations of multiple gamma and sine functions
It is well known that the Weierstrass product representation of the Barnes multiple gamma function Γr(z) can be calculated concretely. However, there has been no study on its explicit formulation. In this paper, its simple formulation is achieved. It is applicable to the Weierstrass product representation of the Vignéras multiple gamma function also. Moreover, the Weierstrass product representation of the Kurokawa multiple sine function Sr(z) is also formulated explicitly.
Kodai Math. J., Volume 32, Number 1 (2009), 77-90.
First available in Project Euclid: 1 April 2009
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Onodera, Kazuhiro. Weierstrass product representations of multiple gamma and sine functions. Kodai Math. J. 32 (2009), no. 1, 77--90. doi:10.2996/kmj/1238594547. https://projecteuclid.org/euclid.kmj/1238594547