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

The partial wave expansion of the Coulomb-distorted plane wave is determined by the help of the complex generalized hypergeometric function 2F(2)(a, a; a + l + 1, a - l; z). An algorithm for the calculation of 2F(2)(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. Program summary Program title: Hyp2F2spec_v1 Catalogue identifier: AEXR_v1_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEXR_v1_0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 1067 No. of bytes in distributed program, including test data, etc.: 8394 Distribution format: tar.gz Programming language: FORTRAN-90. Computer: x86-64. Operating system: LINUX, MAC OS X, Windows. RAM: < 1 MB Classification: 4.7. Nature of problem: The partial wave expansion of the Coulomb distorted plane wave is given by a generalized hypergeometric function with special indexes. An algorithm is developed for the calculation of this function. Solution method: Taylor-series and asymptotic expansion in both cases estimates for the remainder terms are determined. Explicit expression is also used. Running time: Less than 0.01 s (C) 2015 Elsevier B.V. All rights reserved.