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arXiv · 2106.13046

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

Teresa Augusta Mesquita
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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.

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Teresa Augusta Mesquita. 2021-06-24. About the (Hahn) classical character of 2-orthogonal solutions of two families of differential equations of third order. https://arxiv.org/abs/2106.13046

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