On the Barnes function

The multiple Barnes function, defined as a generalization of the Euler gamma function, is used in many applications of pure and applied mathematics and theoretical physics. This paper presents new integral representations as well as special values of the Barnes function. Moreover, the Barnes function is expressed in a closed form by means of the Hurwitz zeta function. These results can be used for numeric and symbolic computations of the Barnes function. 

• Type: Conference
• Year: 2001
• Where: ISSAC
• Authors: Victor Adamchik
• Keywords: Barnes Function, Euler Gamma Function, ISSAC 2001, Mathematics, Multiple Barnes Function