On a Solution of q-Difference Analogue of Lauricella's D-type Hypregeometric Equation with |q|=1

 

Author

Michitomo Nishizawa

Journal

Publ. RIMS, Kyoto Univ. , 34 (1998), 277-290.

Abstract

By using the double sine function as integral solution of a q-difference analogue of Lauricella's D-type hyperegeometric equation is constructed in the case when |q|=1. Furthermore, its contiguous operators are considered.

Cited by:

M. Nishizawa,
Integral Solutions of Hypergeometric q-Difference Systems with |q|=1,
Physics and Combinatrics 1999 - Proceedings of Nagoya Workshop- (2001), World Scientific.

M. Nishizawa,
q-Special Functions with |q|=1 and Their Applications to Discrete Integral Systems,
J. Phys. A: Math. Gen. 34, (2001) 10639-10646.