A modification of the Prudnikov and Laguerre polynomials

DOI10.1080/10652469.2021.2017428OpenAlexW4205289840MaRDI QIDQ5094510

Semyon B. Yakubovich

Publication date: 3 August 2022

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

Full work available at URL: https://arxiv.org/abs/2109.11337

zbMATH Keywords

Mellin transformorthogonal polynomialsmodified Bessel functionassociated Laguerre polynomials

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) Other special orthogonal polynomials and functions (33C47)

Cites Work

• Bessel functions and the infinite divisibility of the Student \(t\)-distribution
• Orthogonal polynomials with ultra-exponential weight functions: an explicit solution to the Ditkin-Prudnikov problem
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