Numerical computation of incomplete Lipschitz-Hankel integral \(Je_ 0(a,z)\)

DOI10.1016/0021-9991(90)90255-YzbMath0701.65012OpenAlexW1975760886MaRDI QIDQ914327

Edward F. Kuester, Steven L. Dvorak

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90255-y

zbMATH Keywords

algorithmasymptotic expansionsBessel functionadaptive quadrature routineasymptotic factorial-Neumann series expansionsFdM 35, 476Incomplete Lipschitz-Hankel integrals

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (3)

A novel asymptotic extraction technique for the efficient evaluation of a class of double sommerfeld integrals ⋮ Numerical computation of 2D Sommerfeld integrals - decomposition of the angular integral ⋮ Numerical computation of 2D Sommerfeld integrals -- a novel asymptotic extraction technique

Cites Work

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• Uniform asymptotic expansions of incomplete Lipschitz-Hankel integrals
• Computational Aspects of Three-Term Recurrence Relations
• Numerical solution of second-order linear difference equations
• Theory of Incomplete Cylindrical Functions and their Applications
• Computation with Three-Term, Linear, Nonhomogeneous Recursion Relations
• Bessel function expansions of incomplete Lipschitz-Hankel integrals
• Note on Backward Recurrence Algorithms

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