The Journal of the Indian Mathematical Society

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Elliptic WP-Bailey Transform and its Applications


Affiliations
1 Department of Mathematics, T.D.P.G. College, Jaunpur-222002 (UP), India
2 Department of Mathematics, S.P.D.T. College, Andheri (E), Mumbai-400059, India
     

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In this paper, idea of WP-Bailey transform has been extended to elliptic WP-Bailey transform and it has been applied to establish certain interesting summation and transformation formulas for elliptic and theta hypergeometric series.

Keywords

Elliptic Hypergeometric Series, Theta Hypergeometric Series, Wp-Bailey Transform, Elliptic Wp-Bailey Transform, Summation Formula, Transformation Formula.
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  • Elliptic WP-Bailey Transform and its Applications

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Authors

Satya Prakash Singh
Department of Mathematics, T.D.P.G. College, Jaunpur-222002 (UP), India
Vijay Yadav
Department of Mathematics, S.P.D.T. College, Andheri (E), Mumbai-400059, India

Abstract


In this paper, idea of WP-Bailey transform has been extended to elliptic WP-Bailey transform and it has been applied to establish certain interesting summation and transformation formulas for elliptic and theta hypergeometric series.

Keywords


Elliptic Hypergeometric Series, Theta Hypergeometric Series, Wp-Bailey Transform, Elliptic Wp-Bailey Transform, Summation Formula, Transformation Formula.

References