Some result on classical d-OPS

Abstract

In this paper,We present an algebraic theory of classical d-orthogonal polynomials and we want to fill in some gaps. We broaden and close some inclusions that exist and are known perhaps as consequences. Several characterizations of classical d-OPS are given in terms of d+2 term recurrence relation as well as in terms of functional and differential equations. An additional tool in determining the integral representation for such class is presented.