Finite bivariate biorthogonal $N$-Konhauser polynomials

Abstract

A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials $N_n^{(p)}(w)$ and the Konhauser polynomials. We present a connection between this finite 2D biorthogonal set and the generalized Laguerre-Konhauser polynomials. Also, we obtain several applications of finite bivariate biorthogonal $N$-Konhauser polynomials.