In this contribution we deal with Gaussian quadrature rules based on orthogonal polynomials associated with a weight function $w(x)= x^{\alpha} e^{-x}$ supported on an interval $(0,z)$, $z>0.$ The modified Chebyshev algorithm is used in order to test the accuracy in the computation of the coefficients of the three-term recurrence relation, the zeros and weights, as well as the dependence on the parameter $z.$

翻译：本文探讨了基于支撑在区间$(0,z)$（其中$z>0$）上的权函数$w(x)= x^{\alpha} e^{-x}$的正交多项式所关联的高斯求积规则。采用修正的Chebyshev算法来检验三项递推关系系数、零点与权重的计算精度，以及这些量对参数$z$的依赖性。