
PROGRAM LIBRARY JINRLIBZHYPG2  calculation of the hypergeometric functions
_{2}F_{1}(a,2,c,z) 

Language: Fortran The function ZHYPG2 computes the hypergeometric functions with complex parameters , and an argument [1]. For calculation of the hypergeometric function it used the beforehand calculated values of the hypergeometric functions and their derivatives by means of the subroutine HYPGEO [2] at points The considered procedure was constructed on the basis of the algorithms published in [3]. The described algorithm allows one to save calculation time of the multidimensional integrals, whose kernel contains hypergeometric functions , approximately 1060 times depending on accuracy of the calculation (10^{4}10^{14}) in comparison with a direct use of the subroutine HYPGEO at each value . This type of calculations occurs in investigation of the single and double ionizations by electron impact of twonuclear molecules (see papers [4,5]). References:
Structure:
Usage: ZFUNC = ZHYPG2(ZA,ZC,ZZ,NMAX,EPS) INPUT: ZA, ZC, ZZ, NMAX, EPS, where:
Sources with example and description are submitted. Example: 