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Tables for the evaluation of $\int _{0}^{\infty } x^{\beta }e^{-x}f(x)dx$ by Gauss-Laguerre quadrature

Authors: P. Concus, D. Cassatt, G. Jaehnig and E. Melby
Journal: Math. Comp. 17 (1963), 245-256
MSC: Primary 65.55
MathSciNet review: 0158534
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Abstract: Tables of abscissae and weight coefficients to fifteen places are presented for the Gauss-Laguerre quadrature formula $\int _0^\infty {{x^\beta }{e^{ - x}}f(x)dx \sim \sum \limits _{k = 1}^n {{H_k}f({a_k})} }$ for $\beta = - \tfrac {1}{4}, - \tfrac {1}{2},{\text {and}} - \tfrac {3}{4}$ and n = 1(1)15.

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Article copyright: © Copyright 1963 American Mathematical Society