Gaussian quadrature orthogonal functions

Fm basis sets corresponding to classical orthogonal pol3momials (harmonic oscillator functions, Qiebyshev polynomi, Legendre and associated L endre lynomials, etc.) the approximation 2.5 is equivalent to the approximatimi of V by Gaussian quadrature. For... 

In the following, we shall first show how Gaussian quadrature can be simplified for the special case of even polynomials and weight functions such as those in (9.11.3). The orthogonal polynomials needed for the calculation of Coulomb integrals (9.11.3) are then introduced, and finally we show how a Gaussian-quadrature scheme for the evaluation of Coulomb integrals can be developed based on the McMurchie-Davidson and Obara-Saika schemes. 

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