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Research Article

FRACTIONAL CALCULUS OPERATORS 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 13, Issue 1 Pages 143-166 December 30, 2025 59 downloads
Article overview

Abstract

Motivated by a recent work on Marichev-Saigo-Maeda fractional calculus operators associated with the generalized k-Struve function(Seema Kabra et al. [19] in Applied Mathematics and Nonlinear Sciences, 5(2),593-602), this paper establishes four theorem by using Marichev -Maeda-Saigo fractional integral and derivative operators involving the product of the $(p,q)$-Extended Bessel function and Generalized k-Struve function, supported by serveral auxillary lemmas. 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.

Keywords and Phrases

MSM Fractional Calculus Operator$(pq)$-Extended Bessel function and Generalized k-Struve function$(pq)$-Extended generalized hypergeometric function and Generalized k-Wright function.

AMS Subject Classification

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

Reference information

How to Cite

Riyaz Khan, Hemlata Saxena (2025). FRACTIONAL CALCULUS OPERATORS ASSOCIATED WITH THE PRODUCT OF $(p,q)$-EXTENDED BESSEL FUNCTION AND GENERALIZED K-STRUVE FUNCTION. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 13(1), 143-166.
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