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) ,IN
  • Vijay Yadav
     Department of Mathematics, S.P.D.T. College, Andheri (E), Mumbai-400059 ,IN

DOI:

https://doi.org/10.18311/jims/2019/22487

Keywords:

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

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.

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Published

2018-12-12

How to Cite

Prakash Singh, S., & Yadav, V. (2018). Elliptic WP-Bailey Transform and its Applications. The Journal of the Indian Mathematical Society, 86(1-2), 179–186. https://doi.org/10.18311/jims/2019/22487

Issue

Volume 86, Issue 1-2, January-June 2019

Section

Articles

License

Copyright (c) 2018 Satya Prakash Singh, Vijay Yadav

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2018-10-11
Accepted 2023-01-30
Published 2018-12-12

 

References

G. Gasper and M. Rahman, Basic hypergeometric series (Second Edition), Cambridge University Press, New York, 2004.

H. M. Srivastava, S. N. Singh, Satya Prakash Singh, Vijay Yadav, Certain Derived WP-Bailey Pairs and Transformation Formulas for q-Hypergeometric Series, Filomat, 31(14) (2017), pp. 4619-4628.

H. M. Srivastava, S. N. Singh, Satya Prakash Singh, Vijay Yadav, Some conjugate WP-Bailey pairs and transformation formulas for q-series, CREAT. MATH. INFORM, 24(2) (2015), pp. 199-209.

Satya Prakash Singh, On transformation formulae for theta hypergeometric functions, J. Ramanujan Society of Math. and Math. Sc., 3(1) (2014), pp.53-62.

Satya Prakash Singh, On a transformation formula for elliptic hypergeometric series, South East Asian J. Math.& Math. Sc., 10(2) (2011), pp. 79-87.

S. N. Singh, Satya Prakash Singh, Vijay Yadav, On Bailey's Transform and Expansion of Basic Hypergeometric Functions-II, South East Asian J. of Math.& Math. Sci., 11(2), (2015), pp. 37-46.

S. O. Warnaar, Extensions of the well-poised and elliptic well poised Bailey lemma, Indag Math. (N.S.) to appear at XIV. Math: CA/0309241.

V. P. Spiridonov, An elleptic extension of the Bailey chain, Int. Math. Res. Notices, 37 (2002), pp. 1945-1977.