CERTAIN INTEGRAL TRANSFORM OF PATHWAY FRACTIONAL INTEGRAL OPERATOR ASSOCIATED WITH THE PRODUCT OF $(p,q)$-EXTENDED BESSEL FUNCTION AND GENERALIZED k-STRUVE FUNCTION

Authors

  • Riyaz Khan Department of Mathematics, Career Point University, Kota - 325003, Rajasthan, INDIA Author
  • Hemlata Saxena Department of Mathematics, Career Point University, Kota - 325003, Rajasthan, INDIA Author

DOI:

https://doi.org/10.56827/SEAJMMS.2026.2201.9

Keywords:

Pathway Fractional Integral Operator, $(p,q)$-Extended Bessel function and Generalized k-Struve function, $(p,q)$-Extended generalized hypergeometric function and Generalized Wright function, Jafari transform

Abstract

Motivated by a recent work on Pathway fractional integral operator associated with the generalized k-Struve function,this paper establishes five theorems by using Pathway fractional integral operator involving the product of the $(p,q)$-Extended Bessel function and Generalized k-Struve function, supported by several auxiliary lemma. The results are expressed in terms of the $_{r+k}F_{s+k}$ and generalized k-Wright function $ {_r\psi_s}^k$.Some new and known results are also obtained in special cases of main results. Then, their certain Integral transforms including Jafari transform via Pathway Fractional Integral formulas Involving Product of $(p,q)$-Extended Bessel function and Generalized k-Struve Function.

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Published

30-04-2026