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

Volume 24, Issue 1, pp 10--21
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.

### Share and Cite

##### ISRP Style

R. S. Ali, S. Mubeen, K. S. Nisar, S. Araci, G. Rahman, Some properties of generalized $(s,k)$-Bessel function in two variables, Journal of Mathematics and Computer Science, 24 (2022), no. 1, 10--21

##### AMA Style

Ali R. S., Mubeen S., Nisar K. S., Araci S., Rahman G., Some properties of generalized $(s,k)$-Bessel function in two variables. J Math Comput SCI-JM. (2022); 24(1):10--21

##### Chicago/Turabian Style

Ali, R. S., Mubeen, S., Nisar, K. S., Araci, S., Rahman, G.. "Some properties of generalized $(s,k)$-Bessel function in two variables." Journal of Mathematics and Computer Science, 24, no. 1 (2022): 10--21

### Keywords

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

•  33C10
•  33C50

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