General Multi-sum Transformations and Some Implications
arXiv:1901.01988 · doi:10.1007/s11139-015-9694-8
Abstract
We give two general transformations that allows certain quite general basic hypergeometric multi-sums of arbitrary depth (sums that involve an arbitrary sequence ), to be reduced to an infinite -product times a single basic hypergeometric sum. Various applications are given, including summation formulae for some orthogonal polynomials, and various multi-sums that are expressible as infinite products.
20 pages