Title of article :
Transformation and reduction formulae for double
q-Clausen series of type Φ
1:2;λ
1:1;μ
Author/Authors :
Cangzhi Jia، نويسنده , , Tianming Wang، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
Abstract :
The Sears transformations are employed to establish several general series transformations for double
q-Clausen hypergeometric series of type Φ
1:2;λ
1:1;μ. These transformations yield further a number of reduction
and summation formulae on the double basic hypergeometric series.
© 2006 Elsevier Inc. All rights reserved
Keywords :
Basic hypergeometric series , q-Gauss summation formula , q-Chu–Vandermonde convolution , Double q-Clausen series , Searstransformations
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
