Composition formulas for Saigo k-fractional operator associated with generalized k-Bessel Maitland function

Mahajan, Yukti; Nagar, Harish

doi:10.47974/JIM-2051

Open Access Research Article

Composition formulas for Saigo k-fractional operator associated with generalized k-Bessel Maitland function

^*Yukti MahajanCorresponding authoryuktimahajan97@gmail.comDepartment of Mathematics Chandigarh University GharuanDepartment of Mathematics University Institute of Sciences Chandigarh UniversityGharuan, Punjab, 140413, IndiaView full profile → , Harish Nagardrharishngr@gmail.comDepartment of Mathematics Chandigarh University GharuanDepartment of Mathematics Chandigarh University Gharuan Mohali, Punjab, 140413, IndiaView full profile →

* Corresponding author · click or hover a name for details

pp. 1861–1867Vol. 27Issue 8December 2024DOI: 10.47974/JIM-2051XML

Received:: 11 Jul 2024
Published Online:: 16 Dec 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-2051
Pages:: 1861–1867

Abstract

This research focuses on exploring the usage of integral and derivative operator of Saigo’s k-fractional type i.e. (Sk.I.O.) and (Sk.D.O.) that utilize the k-hypergeometric function (k-H.F.). The findings are presented in relation to the Generalized k-Bessel Maitland Function (k-B.M.F.) and articulated in terms of the k-Wright function (k-W.F.), and then the beta transform (B.T.) is applied to obtain the image formulas of integral transforms.

Keywords

Saigo’s k-fractional operator Generalized k-Bessel Maitland function k-Wright function

Subject Classifications

44C2044A20

References

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