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arXiv · 2601.02866

New biorthogonal sequences generated by index integrals of the weight functions

Semyon Yakubovich
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Abstract

We exhibit new biorthogonal sequences generated by index integrals of the squares of the modified Bessel functions and gamma functions. The composition orthogonality, involving differential operators is employed. Generalized Wilson polynomials are introduced. Some properties are investigated.

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Semyon Yakubovich. 2026-01-06. New biorthogonal sequences generated by index integrals of the weight functions. https://arxiv.org/abs/2601.02866

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