English

Extensions of two $q$-Gosper identities with an extra integer parameter

Combinatorics 2014-05-27 v1 Classical Analysis and ODEs

Abstract

According to the method of series rearrangement, we establish the extensions of two qq-Gosper identities with an extra integer parameter. The limiting cases of them produce the generalizations of Gosper's two 3F2(34)_3F_2(\frac{3}{4})-series identities with an additional integer parameter. Meanwhile, several related results are also given.

Cite

@article{arxiv.1405.6618,
  title  = {Extensions of two $q$-Gosper identities with an extra integer parameter},
  author = {Chuanan Wei and Qinglun Yan},
  journal= {arXiv preprint arXiv:1405.6618},
  year   = {2014}
}
R2 v1 2026-06-22T04:23:26.069Z