重端点的Gauss-Laguerre求积公式

Gauss-Laguerre Quadrature Formula with Coincident Knots

本文对[0,∞]上的权函数W_μ(x)=x~μe^(-x)(μ>-1)讨论了在端点x=0重数>1情形下的Gauss型求积公式.特别地,对Laguerre权函数W(x)=e^(-x).给出了重数为2的Gauss-Laguerre显式公式.

Gaussian quadrature formula with weight function Wμ(x) = xμe-x(μ> 1)is discussed in the case of the multiplicity more than 1 at the end point x=0 . Especially, an explicit Gauss-Laguerre quadrature formula is given with the multiplicity 2 at the end point for Laguerre weight function W(x) = e^x .