Heine transformations for a new kind of basic hypergeometric series in U(n) Academic Article uri icon

abstract

  • 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 11 sum.

published proceedings

  • JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

author list (cited authors)

  • Gustafson, R. A., & Krattenthaler, C.

citation count

  • 7

publication date

  • April 1996