Title of article
Two new transformation formulas of basic hypergeometric series ✩
Author/Authors
Caihuan Zhang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
11
From page
777
To page
787
Abstract
By means of a modified version of Cauchy’s method for obtaining bilateral series identities, two new
transformation formulas for bilateral basic hypergeometric series are derived. These contain several important
identities for basic hypergeometric series as special cases, including the nonterminating q-Saalschütz
summation, Bailey’s very well-poised 6ψ6 summation and the nonterminating Watson transformation.
© 2007 Elsevier Inc. All rights reserved
Keywords
Basic hypergeometric series , Three terms transformation on nonterminating 8?7-series , Bailey’stransformation on nonterminating very well-poised 10?9-series
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936302
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