Document Type

Article

Publication Date

4-2016

Abstract

We give two general transformations that allows certain quite general basic hypergeometric multi-sums of arbitrary depth (sums that involve an arbitrary sequence {g(k)}), to be reduced to an infinite q-product times a single basic hypergeometric sum. Various applications are given, including summation formulae for some q orthogonal polynomials, and various multisums that are expressible as infinite products.

Publication Title

The Ramanujan Journal

ISSN

1382-4090

Publisher

Springer

Volume

39

Issue

3

First Page

545

Last Page

565

Comments

Preprint version is available here.

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