Multiple gamma function
Generalization of the Euler gamma function and the Barnes G-function / From Wikipedia, the free encyclopedia
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For derivatives of the log of the gamma function, see polygamma function.
In mathematics, the multiple gamma function is a generalization of the Euler gamma function and the Barnes G-function. The double gamma function was studied by Barnes (1901). At the end of this paper he mentioned the existence of multiple gamma functions generalizing it, and studied these further in Barnes (1904).
Double gamma functions are closely related to the q-gamma function, and triple gamma functions are related to the elliptic gamma function.