Journal of East China Normal University(Natural Sc ›› 2019, Vol. 2019 ›› Issue (3): 55-62.doi: 10.3969/j.issn.1000-5641.2019.03.007

• Mathematics • Previous Articles     Next Articles

A q-analogy of a nonterminating 7F6-series summation

CHEN Ting, WANG Chen-ying   

  1. School of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China
  • Received:2018-07-21 Online:2019-05-25 Published:2019-05-30

Abstract: The modified Abel lemma on summation by parts with a "remainder term" was employed to establish a nonterminating basic hypergeometric series transformation which can be seen as a q-analogy of a known 7F6-series summation formula.

Key words: basic hypergeometric series, generalized hypergeometric series, cubic hypergeometric series, the Abel lemma on summation by parts

CLC Number: