ABSTRACT
In order to discuss integral formulas for Gaussian quadrature it is helpful to have some basic knowledge about classical Legendre polynomials. We start with its explicit representation. Then we list some of the properties which turn out to be useful in Gaussian quadrature. More details can be found, e.g., in P.J. Davis, P. Rabinowitz [1984], W. Freeden, M. Gutting [2013], W. Freeden, M. Schreiner [2009], C. Müller [1969, 1998], N.N. Lebedev [1973], G. Szegö [1975].
