Finite biorthogonal polynomials suggested by the finite orthogonal polynomials M₍^ (p, q) (x)

In this paper, we derive a pair of finite univariate biorthogonal polynomials suggested by the finite univariate orthogonal polynomials M₍^ (p, q) (x). The corresponding biorthogonality relation is given. Some useful relations and properties, concluding differential equation and generating function, are presented. Further, a new family of finite biorthogonal functions is obtained using Fourier transform and Parseval identity. In addition, we compute the Laplace transform and fractional calculus operators for polynomials M₍ (p, q, ;x).