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

## Description

Abstract The partial wave expansion of the Coulomb-distorted plane wave is determined by the help of the complex generalized hypergeometric function <sup>2</sup><sup>F2</sup>(a,a;a+l+1,a-l;z). An algorithm for the calculation of <sup>2</sup><sup>F2</sup>(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. Title of program: Hyp2F2spec_v1 Catalogue Id: AEXR_v1_0 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. Versions of this program held in the CPC repository in Mendeley Data AEXR_v1_0; Hyp2F2spec_v1; 10.1016/j.cpc.2015.08.018 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)