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

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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

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Access to Document

10.1016/0010-4655(92)90071-6