Contents

Ars Combinatoria

  • Research article

A Standard Proof of Andrews’ Conjecture for \(_4\phi_3\)-Series

Chuanan Wei1,2, Xiaoxia Wang3
1Department of Mathematics Shanghai Normal University, Shanghai 200234, China
2Department of Information Technology Hainan Medical College, Haikou 571199, China
3Department of Mathematics Shanghai University, Shanghai 200444, China
  • Published: 31/01/2015

Abstract

In terms of Sears’ transformation formula for \(_4\phi_3\)-series, we provide standard proofs of a summation formula for \(_4\phi_3\)-series due to Andrews [Andrews, Adv. Appl. Math. \(46 (2011), 15-24]\) and another summation formula for \(_4\phi_3\)-series conjectured in the same paper. Meanwhile, several other related results are also derived.

Citation
Chuanan Wei, Xiaoxia Wang. A Standard Proof of Andrews’ Conjecture for \(_4\phi_3\)-Series[J], Ars Combinatoria, Volume 119. 65-69. .