Some properties of Euler type integral operator involving generalized Bessel-Maitland function

Abstract

The main object of this article is to present an interesting double integral involving generalized Bessel-Maitland function defined by Ghaysuddin et al. [9], which is expressed in terms of generalized (Wright) hypergeometric function. We also considered some special cases as an application of the main result.

Some Fractional Operators with the Generalized Bessel–Maitland Function

“…During the last few years, many types of research studies developed the class of generalized fractional integrals containing a variety of special functions [1][2][3][4][5]. Watson [6] discussed applications of the Bessel function with some fields of applied sciences, biology, chemistry, physical sciences, and engineering.…”

Certain integrals involving extended Bessel-Maitland function associated with Jacobi polynomials

“…In the last decade, many authors (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] have developed numerous integral formulas involving a variety of special functions. Also many integral formulas associated with the Bessel functions of several kinds have been presented (see, e.g., [1][2][3][4][5][6][7]). Those integrals involving Bessel-Maitland functions are not only of great interest to the pure mathematics, but they are often of extreme importance in many branches of theoretical and applied physics and engineering (see [12]).…”

“…Currently, Ghayasuddin and Khan [1], Khan et al [2][3][4]7], Ali et al [4][5][6] gave certain interesting new class of integral formulas involving the generalized Bessel-Maitland function, which are expressed in terms of the generalized (Wright) hypergeometric function. In the present sequel to the aforementioned investigations, we present two generalized integral formulas involving generalized Bessel-Maitland functions, which are expressed in terms of the generalized (Wright) hypergeometric function.…”

Beta type integral operator involving generalized Bessel-Maitland Function

“…In recent years, several extension of some well-known special functions have been introduced by many authors, (see [1][2][3][4][5][6]).…”

“…In particular Khan et al [6] introduced and investigated a new extension of Bessel-Maitland function as follows:…”