Generalized Integral Transform and Fractional Calculus Involving Extended pRq(α β Ζ) Function

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Authors

  • Ankit Pal
     Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, 395 007 ,IN
  • R. K. Jana
     Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, 395 007 ,IN
  • A. K. Shukla
     Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, 395 007 ,IN

DOI:

https://doi.org/10.18311/jims/2022/29310

Keywords:

Generalized hypergeometric function, Wright hypergeometric function, Generalized integral transforms, k-Pochhammer symbol, Pathway fractional hypergeometric integral operator

Abstract

In this paper, we address an extended version of pRq(? ? ?) function using k-Pochhammer symbol and study their classical properties and generalized integral transform. Further, we study Pathway fractional hypergeometric integral and fractional derivatives of the extended pRq(? ? ?) function. Some special cases have also been illustrated.

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Published

2022-01-27

How to Cite

Pal, A., Jana, R. K., & Shukla, A. K. (2022). Generalized Integral Transform and Fractional Calculus Involving Extended <sub>p</sub>R<sub>q</sub>(α β &#918;) Function. The Journal of the Indian Mathematical Society, 89(1-2), 100–116. https://doi.org/10.18311/jims/2022/29310

Issue

Volume 89, Issue 1-2, January-June 2022

Section

Articles

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Copyright (c) 2022 Ankit Pal, R. K. Jana, A. K. Shukla

Creative Commons License

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

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Received 2022-01-11
Accepted 2023-01-30
Published 2022-01-27

 

References

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