ON (p,q)-BESSEL FUNCTION OF TWO VARIABLES: ON (p,q)-BESSEL FUNCTION OF TWO VARIABLES

Fadhl Alsarahi

Authors

Fadhl S . N . Alsarahi Department of Mathematics, Saber Faculty of Science and Education, Lahej University, Yemen.

Keywords:

Bessel function, Two-variable special functions, Generating Function, Difference Equations, Special functions

Abstract

The Bessel function is probably the best-known special function, within pure and applied mathematics. The principal object of the present paper is to construct new analogy definition of the -Bessel function of two variables, using the generating function method. This study shows a class of Bessel function with the help of the generating function. Some properties of this function and explicit representations of difference equations and recurrence relations are obtained.

ON (p,q)-BESSEL FUNCTION OF TWO VARIABLES