Bivariate k-Mittag-Leffler functions with 2D-k-Laguerre-Konhauser polynomials and corresponding k-fractional operators

In this paper, we first introduce new class of 2D-k-Laguerre-Konhauser polynomials. which generalizes the 2D-Laguerre-Konhauser polynomials (see [18]). Then, we define a new family of bivariate ... functions ... and establish the k-Riemann-Liouville double fractional integral and derivative of the functions ... Moreover, we introduce an integral operator ... which contains the bivariate k-Mittag-Leffler functions ... in the kernel and investigate the semigroup property of this operator. Finally, the left inverse operator of the integral operator ... is constructed.