Approximation for Bessel functions and their application in the computation of Hankel transforms

DOI10.1016/0898-1221(82)90012-8zbMath0482.65068OpenAlexW2014926876MaRDI QIDQ1162801

Maria Branders, Robert Piessens

Publication date: 1982

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(82)90012-8

zbMATH Keywords

Fourier transformsHankel transformBessel functionsrational approximations

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Computation of special functions and constants, construction of tables (65D20) Numerical methods for integral transforms (65R10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Algorithms to numerically evaluate the Hankel transform, A Fast Analysis-Based Discrete Hankel Transform Using Asymptotic Expansions, An automatic integration procedure for infinite range integrals involving oscillatory kernels, Modified Clenshaw-Curtis method for the computation of Bessel function integrals, An algorithm for the computation of zeros of a special class of entire functions

Uses Software

• QUADPACK
• Algorithm 236

Cites Work

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• A relation between the solutions of the half-space Dirichlet problems for Helmholtz's equation in R\(^n\) and Laplace's equation in R\(^{n+1}\)
• Tables for the Rapid and Accurate Numerical Evaluation of Certain Infinite Integrals Involving Bessel Functions
• Two simple algorithms for discrete rational approximation
• A Method for Computing Bessel Function Integrals