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Calculation of modified Bessel functions in the complex domain. (English) Zbl 0568.65010
Algorithms for the computation of the values of the modified Bessel functions of the first and second kind I ν (z) and K ν (z) for complex values of ν and z are given. The algorithm for the computation of the Bessel function I ν (z) is based on the so-called Miller-Olver algorithm, and the algorithm for the computation of K ν (z) on the algorithm by N. M. Temme [J. Comput. Phys. 19, 324–337 (1975; Zbl 0334.65013)]. The authors consider also a program realization of the algorithms. The results of numerical experiments are given and discussed.

65D20Computation of special functions, construction of tables
33-04Machine computation, programs (special functions)
33C10Bessel and Airy functions, cylinder functions, 0 F 1