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 | |
| Publication status | Published - 1992 |
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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 journal › Article
}
TY - JOUR
T1 - Computation of the Kummer functions and Whittaker functions by using Neumann type series expansions
AU - Badralexe, E.
AU - Marksteiner, P.
AU - Oh, Y.
AU - Freeman, Arthur J
PY - 1992
Y1 - 1992
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0026904017&partnerID=8YFLogxK
U2 - 10.1016/0010-4655(92)90071-6
DO - 10.1016/0010-4655(92)90071-6
M3 - Article
AN - SCOPUS:0026904017
VL - 71
SP - 47
EP - 55
JO - Computer Physics Communications
JF - Computer Physics Communications
SN - 0010-4655
IS - 1-2
ER -