In this paper we introduce a notion of duality for matrix valued orthogonal polynomials with respect to measure supported on the nonnegative integers. We show that dual families are closely related certain difference operators acting polynomials. These belong so called Fourier algebras, which play key role in construction families. order illustrate duality, describe family Charlier type explici...

hybrid of rationalized haar functions are developed to approximate the solution of the differential equations. the properties of hybrid functions which are the combinations of block-pulse functions and rationalized haar functions are first presented. these properties together with the newton-cotes nodes are then utilized to reduce the differential equations to the solution of algebraic equation...