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Basic Double Series, Quadratic Transformations and Products of Basic Series

Published online by Cambridge University Press:  20 November 2018

Bassam Nassrallah
Bassam Nassrallah*
Affiliation:
Department of Mathematics, University of Ottawa, Ottawa, Ontario K1N 6N5
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Abstract

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A basic double series is expressed in terms of two 5ϕ4 series which extends Bailey's transformation of an 8ϕ7 series into two 4ϕ3 's. From this formula we derive some quadratic transformations; one of them is a new q-analogue of a transformation due to Whipple. Product formulas as well as Gasper-Rahman's q-Clausen formula are also given as special cases.

Keywords

33A3533A99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 499 - 513
Copyright
Copyright © Canadian Mathematical Society 1991

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