About the (Hahn) classical character of 2-orthogonal solutions of two families of differential equations of third order

2021/06/24 by Teresa Augusta Mesquita, Mesquita, Teresa Augusta
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2106.13046

Abstract

Considering a differential operator of third order that does not increase the degree of polynomials, we analyse some properties of elements of the dual space of 2-orthogonal polynomial eigenfunctions. In two classes of such generic operator, we prove that a 2-orthogonal polynomial solution fulfils Hahn's property.

Citations

• Über Sturm-Liouvillesche Polynomsysteme
• �ber die Jacobischen Polynome und zwei verwandte Polynomklassen

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