English

Contiguous relations of $_3\phi_2$-series

Classical Analysis and ODEs 2012-09-13 v1 Combinatorics

Abstract

According to Abel's lemma and the method of linear combinations, we establish numerous contiguous relations of 3ϕ2_3\phi_2-series, which can be regarded as q-analogues of the contiguous relations of 3F2_3F_2-series due to Krattenthaler and Rivoal [12] or Chu and Wang [4].

Keywords

Cite

@article{arxiv.1209.2630,
  title  = {Contiguous relations of $_3\phi_2$-series},
  author = {Chuanan Wei and Dianxuan Gong},
  journal= {arXiv preprint arXiv:1209.2630},
  year   = {2012}
}
R2 v1 2026-06-21T22:03:51.709Z