Computation of the Kummer functions and Whittaker functions by using Neumann type series expansions

E. Badralexe; P. Marksteiner; Y. Oh; Arthur J Freeman

doi:10.1016/0010-4655(92)90071-6

Computation of the Kummer functions and Whittaker functions by using Neumann type series expansions

E. Badralexe, P. Marksteiner, Y. Oh, Arthur J Freeman

Northwestern University

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

The Neumann series representation for the Bessel functions and Neumann functions is generalized for the regular and irregular solutions of the Kummer equation. This representation results in a convenient algorithm for the computation of a large family of special functions, e.g., most of the soluble cases of the Schrödinger equation, including complex energies or a complex (optical) potential.

Original language	English
Pages (from-to)	47-55
Number of pages	9
Journal	Computer Physics Communications
Volume	71
Issue number	1-2
DOIs	https://doi.org/10.1016/0010-4655(92)90071-6
Publication status	Published - 1992

Fingerprint

Whittaker functions

series expansion

Bessel functions

energy

ASJC Scopus subject areas

Computer Science Applications
Physics and Astronomy(all)

Cite this

Badralexe, E., Marksteiner, P., Oh, Y., & Freeman, A. J. (1992). Computation of the Kummer functions and Whittaker functions by using Neumann type series expansions. Computer Physics Communications, 71(1-2), 47-55. https://doi.org/10.1016/0010-4655(92)90071-6

Computation of the Kummer functions and Whittaker functions by using Neumann type series expansions. / Badralexe, E.; Marksteiner, P.; Oh, Y.; Freeman, Arthur J.

In: Computer Physics Communications, Vol. 71, No. 1-2, 1992, p. 47-55.

Research output: Contribution to journal › Article

Badralexe, E, Marksteiner, P, Oh, Y & Freeman, AJ 1992, 'Computation of the Kummer functions and Whittaker functions by using Neumann type series expansions', Computer Physics Communications, vol. 71, no. 1-2, pp. 47-55. https://doi.org/10.1016/0010-4655(92)90071-6

Badralexe E, Marksteiner P, Oh Y, Freeman AJ. Computation of the Kummer functions and Whittaker functions by using Neumann type series expansions. Computer Physics Communications. 1992;71(1-2):47-55. https://doi.org/10.1016/0010-4655(92)90071-6

Badralexe, E. ; Marksteiner, P. ; Oh, Y. ; Freeman, Arthur J. / Computation of the Kummer functions and Whittaker functions by using Neumann type series expansions. In: Computer Physics Communications. 1992 ; Vol. 71, No. 1-2. pp. 47-55.

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Access to Document

10.1016/0010-4655(92)90071-6