### Abstract

The partial wave expansion of the Coulomb-distorted plane wave is determined by the help of the complex generalized hypergeometric function ^{2}^{F2}(a,a;a+l+1,a-l;z). An algorithm for the calculation of ^{2}^{F2}(a,a;a+l+1,a-l;z) is created and it is implemented as a FORTRAN-90 code. The code is fast and its accuracy is 14 significant decimal digits.

Original language | English |
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Pages (from-to) | 291-297 |

Number of pages | 7 |

Journal | Computer Physics Communications |

Volume | 197 |

DOIs | |

Publication status | Published - Dec 1 2015 |

### Fingerprint

### Keywords

- Coulomb
- Coulomb-distorted plane wave
- FORTRAN
- Hypergeometric function
- Plane wave

### ASJC Scopus subject areas

- Hardware and Architecture
- Physics and Astronomy(all)

### Cite this

**An algorithm for the calculation of the partial wave expansion of the Coulomb-distorted plane wave.** / Hornyak, I.; Kruppa, A.

Research output: Contribution to journal › Article

*Computer Physics Communications*, vol. 197, pp. 291-297. https://doi.org/10.1016/j.cpc.2015.08.018

}

TY - JOUR

T1 - An algorithm for the calculation of the partial wave expansion of the Coulomb-distorted plane wave

AU - Hornyak, I.

AU - Kruppa, A.

PY - 2015/12/1

Y1 - 2015/12/1

N2 - The partial wave expansion of the Coulomb-distorted plane wave is determined by the help of the complex generalized hypergeometric function 2F2(a,a;a+l+1,a-l;z). An algorithm for the calculation of 2F2(a,a;a+l+1,a-l;z) is created and it is implemented as a FORTRAN-90 code. The code is fast and its accuracy is 14 significant decimal digits.

AB - The partial wave expansion of the Coulomb-distorted plane wave is determined by the help of the complex generalized hypergeometric function 2F2(a,a;a+l+1,a-l;z). An algorithm for the calculation of 2F2(a,a;a+l+1,a-l;z) is created and it is implemented as a FORTRAN-90 code. The code is fast and its accuracy is 14 significant decimal digits.

KW - Coulomb

KW - Coulomb-distorted plane wave

KW - FORTRAN

KW - Hypergeometric function

KW - Plane wave

UR - http://www.scopus.com/inward/record.url?scp=84942988648&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84942988648&partnerID=8YFLogxK

U2 - 10.1016/j.cpc.2015.08.018

DO - 10.1016/j.cpc.2015.08.018

M3 - Article

AN - SCOPUS:84942988648

VL - 197

SP - 291

EP - 297

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

ER -