Robert A. Gustafson and Christian Krattenthaler
Heine
transformations for
a new kind of basic hypergeometric series in U(n)
(9 pages)
Abstract.
Heine transformations are proved for a new kind of multivariate basic
hypergeometric sesries which had been previously introduced by
Krattenthaler
in connection with generating functions for non-intersecting lattice
paths. As a consequence a q-Gauß and
q-Chu-Vandermonde sum are proved and also a generalization of
Ramanujan's 1\psi1 sum.
Remark: New proofs and generalizations are given in the article
Determinant evaluations
and U(n) extensions of Heine's
2\phi1-transformations by R. A. Gustafson and
C.
Krattenthaler.
The following versions are available:
Back to Christian Krattenthaler's
home page.