The Journal of the Indian Mathematical Society

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Certain Basic Hypergeometric Identities


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1 Department of Mathematics and Statistics, Ewing Christian College, Allahabad-211003, India
     

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The object of this paper is to first obtain certain indentities for the product of k-basic hypergeometric series (k>0) and then to establish certain summation formulae in which the sum of k-th power of the terms of the series has been expressed as the k-th power of certain infinite products.
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  • Certain Basic Hypergeometric Identities

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Authors

U. B. Singh
Department of Mathematics and Statistics, Ewing Christian College, Allahabad-211003, India
S. N. Singh
Department of Mathematics and Statistics, Ewing Christian College, Allahabad-211003, India

Abstract


The object of this paper is to first obtain certain indentities for the product of k-basic hypergeometric series (k>0) and then to establish certain summation formulae in which the sum of k-th power of the terms of the series has been expressed as the k-th power of certain infinite products.