The Journal of the Indian Mathematical Society

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On a Hypergeometric Transformation Formula with Four Unconnected Bases (II)


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1 Department of Mathematics and Astronomy, Lucknow University, Lucknow 226 007, India
     

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Twenty-five years back, Andrews [6] obtained a double series expansion for a series containing two independent bases, and deduced a number of mock theta function identities from it. A year later, Agarwal and Verma [3, 4] developed a theory of generalized hypergeometric series with two unconnected bases, and derived some transformation formulas involving such series by using contour integrals and the calculus of residues.
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  • On a Hypergeometric Transformation Formula with Four Unconnected Bases (II)

Abstract Views: 226  |  PDF Views: 0

Authors

U. B. Singh
Department of Mathematics and Astronomy, Lucknow University, Lucknow 226 007, India

Abstract


Twenty-five years back, Andrews [6] obtained a double series expansion for a series containing two independent bases, and deduced a number of mock theta function identities from it. A year later, Agarwal and Verma [3, 4] developed a theory of generalized hypergeometric series with two unconnected bases, and derived some transformation formulas involving such series by using contour integrals and the calculus of residues.