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Some Quadratic and Cubic Summation Formulas for Basic Hypergeometric Series

Published online by Cambridge University Press:  20 November 2018

Mizan Rahman
Mizan Rahman*
Affiliation:
Department of Mathematics and Statistics, Carleton University, Ottawa, OntarioK1S 5B6
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Abstract

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An identity of L. Carlitz for a bibasic hypergeometric series is used to find some summation formulas for series in which the bases are either q and q2 or q and q3,0 < q < 1 In general, these series are neither balanced nor very-well-poised in the usual sense

Keywords

33A6533A70q-binomial theoremq-Saalschutz formulavery-well-poised seriesSears’ transformation formulaBailey’s summation and transformation formulas
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 2 , 01 April 1993 , pp. 394 - 411
Copyright
Copyright © Canadian Mathematical Society 1993

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