Summation Formulas for Nonterminating 4 Φ3-series and 4ψ 4-series

摘要

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 Abel's lemma on summation by parts. These transformation formulas lead to obtained summation formulas for nonterminating 4Φ3-series and 4ψ4-series.