Algorithms for the computation of Hankel functions of complex order

DOI10.1007/BF02221589zbMath0798.65022OpenAlexW2067092442MaRDI QIDQ1315254

Venkat V. S. S. Sastry

Publication date: 17 March 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02221589

zbMATH Keywords

numerical examplesasymptotic expansionsBessel functionsChebyshev seriescomplex orderHankel functionsDebye seriesOlver series

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Uses Software

• Mathematica

Cites Work

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• Fredholm representations of uniform subgroups
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Surface wave modes on elastic cylinders
• On the solution of a transcendental equation arising in the theory of scattering by a dielectric cylinder

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