The simultaneous computation of Bessel functions of first and second kind

Authors: Balla Katalin, Vũ Hoàng Linh,

https://doi.org/10.1016/0898-1221(95)00220-0

Publisher, magazine: ,

Publication year: 1996

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Abstract

Based on the qualitative properties of Bessel's differential equation and its solutions, a method is proposed for the simultaneous evaluation of Bessel functions of first and second kind. Special attention is paid to the numerical properties of the method and to the errors of approximation.

Tags: Bessel function evaluation, Singular ODE, ODE on infinite interval, Prüfer transformation.