Some Results on the Extended Hypergeometric Function

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Authors

  • Ranjan Kumar Jana
     Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat - 395 007 ,IN
  • Bhumika Maheshwari
     Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat - 395 007 ,IN
  • Ajay Kumar Shukla
     Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat - 395 007 ,IN

DOI:

https://doi.org/10.18311/jims/2020/24874

Keywords:

Gamma function, Pochhammer symbols, Hypergeometric functions, Modified fractional calculus

Abstract

An attempt is made to define the extended Pochhammer symbol (λ)n,α which leads to an extension of the classical hypergeometric functions. Differential equations and some properties have also been discussed.

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Published

2020-05-15

How to Cite

Kumar Jana, R., Maheshwari, B., & Kumar Shukla, A. (2020). Some Results on the Extended Hypergeometric Function. The Journal of the Indian Mathematical Society, 87(1-2), 70–82. https://doi.org/10.18311/jims/2020/24874

Issue

Volume 87, Issue 1-2, January-June 2020

Section

Articles

License

Copyright (c) 2020 Ranjan Kumar Jana, Bhumika Maheshwari, Ajay Kumar Shukla

Creative Commons License

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

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Europe PMC
Received 2020-02-07
Accepted 2023-01-30
Published 2020-05-15

 

References

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