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
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
Journal title :
Journal of Mathematical Analysis and Applications
