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

In this paper, we derive a pair of finite univariate biorthogonal polynomials suggested by the finite univariate orthogonal polynomials Mₙ(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 Mₙ(p,q,υ;x).