English

A new proof of Andrews' conjecture for $_4\phi_3$-series

Combinatorics 2013-09-17 v1 Classical Analysis and ODEs

Abstract

In terms of Sear's transformation formula for 4ϕ3_4\phi_3-series, we give new proofs of a summation formula for 4ϕ3{_4\phi_3}-series due to Andrews [2] and another summation formula for4ϕ3{_4\phi_3}-series conjectured in the same paper. Meanwhile, other several related results are also derived.

Keywords

Cite

@article{arxiv.1309.3936,
  title  = {A new proof of Andrews' conjecture for $_4\phi_3$-series},
  author = {Chuanan Wei and Xiaoxia Wang},
  journal= {arXiv preprint arXiv:1309.3936},
  year   = {2013}
}