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：本文研究了基于支撑区间为$(0,z)$（其中$z>0$）上的权函数$w(x)= x^{\alpha} e^{-x}$对应的正交多项式的高斯求积法则。采用修正切比雪夫算法，检验了三项递推系数、零点和权重计算的准确性，以及它们对参数$z$的依赖性。