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

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)47-55
Number of pages9
JournalComputer Physics Communications
Volume71
Issue number1-2
DOIs
Publication statusPublished - 1992

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Whittaker functions
series expansion
Bessel functions
energy

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

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 journalArticle

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