Una introducción a los polinomios ortogonales de Laguerre-Sobolev : caso continuo.

Abstract

This work, immersed in the theory of orthogonal polynomials and supported in Article [8] (see bibliography), it has as its primary objective show all the theoretical synthesis necessary for the understanding of the general theory of orthogonal polynomials, with the intention of this is used as a basis for treating concerning classical orthogonal polynomials Laguerre in a theoretical way, examining their algebraic and differential properties. The second objective is intended to work with a particular case of orthogonal polynomials associated with the product of Sobolev, the continuous case. Finally a relationship between orthogonal polynomials Laguerre classical orthogonal polynomials and Laguerre-Sobolev follows.