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arXiv · 2105.06321

Orthogonal polynomials for the weight $x^{\nu} \exp(-x - t/x)$

Semyon Yakubovich
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Abstract

Orthogonal polynomials for the weight $x^{\nu} \exp(-x - t/x),\ x, t > 0, \nu \in \mathbb{R}$ are investigated. Differential-difference equations, recurrence relations, explicit representations, generating functions and Rodrigues-type formula are obtained.

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Semyon Yakubovich. 2021-05-13. Orthogonal polynomials for the weight $x^{\nu} \exp(-x - t/x)$. https://arxiv.org/abs/2105.06321

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