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
Recommended Citation
McLaughlin, J. (2016). General multi-sum transformations and some implications. The Ramanujan Journal, 39(3), 545-565. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/71
Comments
Preprint version is available here.