A new application of the discrete Laguerre polynomials in the numerical evaluation of the Hankel transform of a strongly decreasing even function

DOI10.1016/0021-9991(81)90245-XzbMath0467.65068OpenAlexW2067193525MaRDI QIDQ1155946

B. Minetti, Bruno Gabutti

Publication date: 1981

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90245-x

zbMATH Keywords

Hankel transformscattering problem of intermediate-energy nuclear particlesseries of discrete Laguerre polynomials

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Integral transforms of special functions (44A20) Numerical methods for integral transforms (65R10)

Related Items (4)

Asymptotics for Meixner polynomials ⋮ Operator calculus approach to orthogonal polynomial expansions ⋮ Generalized integral transforms with the homotopy perturbation method ⋮ Some characteristic property of the Meixner polynomials

Cites Work

• Unnamed Item
• The special functions and their approximations. Vol. I, II
• The asymptotic expansion of a ratio of gamma functions
• Generation and Use of Orthogonal Polynomials for Data-Fitting with a Digital Computer
• On High Precision Methods for Computing Integrals Involving Bessel Functions
• Error Bounds for Asymptotic Expansions of Hankel Transforms
• Uniform Asymptotic Expansions of Integrals of the Lipschitz–Hankel Type
• Asymptotic Behavior of a Class of Integral Transforms
• Asymptotic Expansions of Integral Transforms with Oscillatory Kernels: A Generalization of the Method of Stationary Phase

This page was built for publication: A new application of the discrete Laguerre polynomials in the numerical evaluation of the Hankel transform of a strongly decreasing even function