DEVELOPMENT OF A GAUSSIAN HYPERGEOMETRIC FUNCTION CODE IN COMPLEX DOMAINS

The analytic properties of the Gaussian hypergeometric function is rev iewed and applied to the development of a Fortran function code. The c ode developed can be used to evaluate the hypergeometric function on t he whole complex plane with arbitrary complex parametric values. In th e process of numerically verifying the code, a trigonometric identity involving the hypergeometric function listed in mort of the mathematic al handbooks is found to be incorrectly stated.