Computing the hypergeometric function
The Gauss hypergeometric function \({}_2F_1(a,b;c;x)\) is computed for real values of the variables \(a, b, c\) and \(x\). Transformation formulas are used to give a suitable \(x-\)interval for the power series. Great care is taken for the divergences that occur for certain values of \(a, b\) and \(c\) in the transformations. Chebyshev expansions are used for gamma functions and for certain combinations of gamma functions. Details of a Fortran program are given.
Gauss hypergeometric function \(_ 2F_ 1(a,b
scientific article; zbMATH DE number 1100744