Some properties of generalized \((s,k)\)-Bessel function in two variables

Volume 24, Issue 1, pp 10--21 http://dx.doi.org/10.22436/jmcs.024.01.02

Publication Date: December 04, 2020 Submission Date: April 21, 2020 Revision Date: May 01, 2020 Accteptance Date: May 13, 2020

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Authors

R. S. Ali - Department of Mathematics, University of Sargodha, Sargodha, Pakistan. S. Mubeen - Department of Mathematics, University of Sargodha, Sargodha, Pakistan. K. S. Nisar - Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Kingdom of Saudi Arabia. S. Araci - Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410 Gaziantep, Turkey. G. Rahman - Department of Mathematics and Statistics , Hazara University, Mansehra, Pakistan.

Abstract

The devotion of this paper is to study the Bessel function of two variables in \(k\)-calculus. we discuss the generating function of \(k\)-Bessel function in two variables and develop its relations. After this we introduce the generalized \((s,k)\)-Bessel function of two variables which help to develop its generating function. The \(s\)-analogy of \(k\)-Bessel function in two variables is also discussed. Some recurrence relations of the generalized \( (s,k)\)-Bessel function in two variables are also derived.

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Keywords

• \(k\)-Bessel function
• generalized \((s,k)\)-Bessel function
• generalized \((s,k)\)-Bessel function in two variables

MSC

•  33C10
•  33C50

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