On the theory of orthogonal polynomials for the weight xν exp (−x − t/x). I

DOI10.1080/10652469.2022.2035381OpenAlexW4213141140MaRDI QIDQ5102227

Semyon B. Yakubovich

Publication date: 6 September 2022

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2022.2035381

zbMATH Keywords

classical orthogonal polynomialsgeneralized hypergeometric functionLaguerre polynomialsmodified Bessel function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

On the theory of orthogonal polynomials for the weight xνexp(−x−t/x). II ⋮ Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials

Cites Work

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• Bessel functions and the infinite divisibility of the Student \(t\)-distribution
• On semi-classical linear functionals of class \(s=1\). Classification and integral representations
• Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I.
• Ladder operators and differential equations for orthogonal polynomials
• Orthogonal Polynomials and Painlevé Equations

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