Abstract The computation of n -point Gaussian quadrature rules for symmetric weight functions is considered in this paper. It shown that the nodes and weights rule can be retrieved from singular value decomposition a bidiagonal matrix size /2. proposed numerical method allows to compute with high relative accuracy computational complexity $ \mathcal {O} (n^{2}). <mml:math xmlns:mml="http://www....

An evaluation of the derivative of spherical Bessel functions of order n + 1 2 at its zeros is obtained. Consequently, an explicit quadrature formula for entire functions of exponential type is given.