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arXiv · 2111.14617

The bispectral problem and polynomial solutions

D. Barrios Rolanía
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Abstract

Some properties and relations satisfied by the polynomial solutions of the bispectral problem are studied. Given a differential operator, under certain restrictions its polynomial eigenfunctions are explicitly obtained, as well as the corresponding eigenvalues. Also the inverse problem is approached, giving conditions for the existence of a differential operator from its eigenpolynomials and eigenvalues.

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D. Barrios Rolanía. 2021-11-26. The bispectral problem and polynomial solutions. https://arxiv.org/abs/2111.14617

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