Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example

DOI10.1016/j.aml.2006.02.020zbMath1124.33005OpenAlexW2030862246MaRDI QIDQ2463919

A. D. Alhaidari

Publication date: 6 December 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.02.020

zbMATH Keywords

Bessel functionGegenbauer polynomialassociated Laguerre polynomialdefinite integralsrecursion relationfunction spectral decomposition

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Regularization in the J-matrix method of scattering revisited ⋮ A new integral involving the product of Bessel functions and associated Laguerre polynomials ⋮ Quantum mechanics without an equation of motion

Cites Work

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