Heine transformations for a new kind of basic hypergeometric series in U(n)

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:68

Article

Gustafson, RA ; Krattenthaler, C

关键词: basic hypergeometric series in U(n);    Heine transformation;    bilateral basic hypergeometric series;    Good's identity;   

DOI  :  10.1016/0377-0427(95)00260-X

来源: Elsevier

【 摘 要 】

Heine transformations are proved for a new kind of multivariate basic hypergeometric series which had been previously introduced by Krattenthaler in connection with generating functions for nonintersecting lattice paths. As a consequence, a q-Gauss and q-Chu-Vandermonde sum are proved and also a generalization of Ramanujan's (1) psi(1) sum.

【 授权许可】

Free