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TRANSFORMATION AND REDUCTION FORMULAE FOR DOUBLE q-SERIES OF TYPE Φ2:1;λ2:0;μ

Published online by Cambridge University Press:  04 December 2009

CANGZHI JIA  and
XIANGDE ZHANG
CANGZHI JIA
Affiliation:
Department of Mathematics, Northeast University, Shenyang 110005, PR China e-mail: cangzhijia@yahoo.com.cn, zhangxdneu@yahoo.com.cn
XIANGDE ZHANG
Affiliation:
Department of Mathematics, Northeast University, Shenyang 110005, PR China e-mail: cangzhijia@yahoo.com.cn, zhangxdneu@yahoo.com.cn
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Abstract

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By applying the Sears non-terminating transformations, we establish four general transformation theorems for double basic hypergeometric series of type Φ2:1;λ2:0;μ. Moreover, several transformation, reduction and summation formulae on the double basic hypergeometric series Φ2:1;22:0;1, Φ2:1;32:0;2 and Φ2:1;42:0;3 are also derived through parameter specialisation.

Keywords

Primary, 33D15secondary, 05A30

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 1 , January 2010 , pp. 195 - 204
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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