Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0568.65010
Kerimov, M.K.; Skorokhodov, S.L.
Calculation of modified Bessel functions in the complex domain. (English. Russian original)
[J] U.S.S.R. Comput. Math. Math. Phys. 24, No. 3, 15-24 (1984); translation from Zh. Vychisl. Mat. Mat. Fiz. 24, No. 5, 650-664 (1984). ISSN 0041-5553

Algorithms for the computation of the values of the modified Bessel functions of the first and second kind $I\sb{\nu}(z)$ and $K\sb{\nu}(z)$ for complex values of $\nu$ and $z$ are given. The algorithm for the computation of the Bessel function $I\sb{\nu}(z)$ is based on the so-called Miller-Olver algorithm, and the algorithm for the computation of $K\sb{\nu}(z)$ on the algorithm by {\it 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.
[Vasil A. Popov (Sofia)]

MSC 2000:: *65D20 Computation of special functions
33-04 Machine computation, programs (special functions)
33C10 Cylinder functions, etc.

Keywords: modified Bessel functions; numerical examples; Miller-Olver algorithm

Citations: Zbl 0334.65013

Cited in: Zbl 0614.65055 Zbl 0603.65029

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]