Summation Formulas for Nonterminating 4 φ3-series and 4ψ 4-series
In this paper, we proved transformation formulas for nonterminating very well-poised 4φ3-series, 4ψ4-series, 6φ5-series, bψ6-series, 8φ7-series and 8ψ8-series, which utilize the method of Abels lemma on summation by parts. These transformation formulas lead to obtained summation formulas for nonterminating 4φ3-series and 4ψ4-series.
Abels lemma Abels lemma series shifted factorial differences transformation formula summation formulas
Gaowen Xi
College of Mathematics and Physics Chongqing University of Science and Technology Chongqing, 401331, P. R. China
国际会议
西安
英文
127-131
2011-05-13(万方平台首次上网日期,不代表论文的发表时间)