Computing the Gamma Function Using Contour Integrals and Rational Approximations
Computing the Gamma Function Using Contour Integrals and Rational Approximations
Some of the best methods for computing the gamma function are based on numerical evaluation of Hankel's contour integral. For example, Temme evaluates this integral based on steepest descent contours by the trapezoid rule. Here we investigate a different approach to the integral: the application of the trapezoid rule on …