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Research Article

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

R
Riyaz Khan Department of Mathematics, Career Point University, Kota - 325003, Rajasthan, INDIA
H
Hemlata Saxena Department of Mathematics, Career Point University, Kota - 325003, Rajasthan, INDIA
Volume 22, Issue 1 Pages 125-142 April 30, 2026 7 downloads
Article overview

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.

Keywords and Phrases

Pathway Fractional Integral Operator$(pq)$-Extended Bessel function and Generalized k-Struve function$(pq)$-Extended generalized hypergeometric function and Generalized Wright functionJafari transform.

AMS Subject Classification

Primary 26A33, Secondary 33C45, 33E12, 44A20.

Reference information

How to Cite

Riyaz Khan, Hemlata Saxena (2026). CERTAIN INTEGRAL TRANSFORM OF PATHWAY FRACTIONAL INTEGRAL OPERATOR ASSOCIATED WITH THE PRODUCT OF $(p,q)$-EXTENDED BESSEL FUNCTION AND GENERALIZED k-STRUVE FUNCTION. South East Asian Journal of Mathematics and Mathematical Sciences, 22(1), 125-142.
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