DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS

Abstract

In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients. Also, we present the fourth order equations with Legendre polynomials, Laguerre polynomials and Hermite polynomials solutions.

Keywords

• E.D. O. de cuarto orden
• soluciones ortogonales
• polinomios de Legendre
• polinomios de Laguerre
• polinomios de Hermite.