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.

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