General Multi-sum Transformations and Some Implications
Number Theory
2019-01-09 v1
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.
Cite
@article{arxiv.1901.01988,
title = {General Multi-sum Transformations and Some Implications},
author = {James Mc Laughlin},
journal= {arXiv preprint arXiv:1901.01988},
year = {2019}
}
Comments
20 pages