Generalizations of a terminating summation formula of basic hypergeometric series and their applications
Combinatorics
2021-06-30 v1 Number Theory
Abstract
We generalize a terminating summation formula to a unilateral nonterminating, and further, a bilateral summation formula by a property of analytic functions. The unilateral one is proved to be a -analogue of a -summation formula. And, an identity unifying Jacobi's triple product identity and the quintuple product identity is obtained as a special case of the bilateral one.
Keywords
Cite
@article{arxiv.2106.15245,
title = {Generalizations of a terminating summation formula of basic hypergeometric series and their applications},
author = {Jun-Ming Zhu},
journal= {arXiv preprint arXiv:2106.15245},
year = {2021}
}
Comments
8 pages,0 figures