On Certain Basic Hypergeometric Series Identities

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Authors

  • Satya Prakash Singh
     Department of Mathematics, TDPG College, Jaunpur-222002 ,IN
  • Vijay Yadav
     Department of Mathematics, SPDT College, Andheri (E), Mumbai ,IN

DOI:

https://doi.org/10.18311/jims/2023/30790

Keywords:

q-Series, Identity, Continued Fraction.

Abstract

In this paper, making use of an identity, certain Rogers-Ramanujan type identities have been established.

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Published

2023-07-12

How to Cite

Prakash Singh, S., & Yadav, V. (2023). On Certain Basic Hypergeometric Series Identities. The Journal of the Indian Mathematical Society, 90(3-4), 367–374. https://doi.org/10.18311/jims/2023/30790

Issue

Volume 90, Issue 3-4, July-December 2023

Section

Articles

License

Copyright (c) 2023 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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References

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S. Bhargava and C. Adiga, A basic bilateral series summation formula and its applications, Integral transforms and Special functions, 2(3) (1994), 165–184.

Harold Exton, q-Hypergeometric Functions and Applications, Ellis Horwood Limited, Halsted Press: a division of John Willey & Sons, New York, 1983.

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

A. Verma, On Identities of Rogers-Ramanujan type, Indian J. Pure and Appl. Math., 11 (6) (1980), 770–790.