Algorithm 793: GQRAT - Gauss quadrature for rational functions

The concern here is with Gauss-type quadrature rules that are exact for a m ixture of polynomials and rational functions, the latter being selected so as to simulate poles that may be present in the integrand. The underlying t heory is presented as well as methods for constructing such rational Gauss formulae. Relevant computer routines are provided and applied to a number o f examples, including Fermi-Dirac and Bose-Einstein integrals of interest i n solid state physics.