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
AMS Subject Classification
Primary 26A33, Secondary 33C45, 33E12, 44A20.
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.