A CLASS OF SLOWLY CONVERGENT SERIES AND THEIR SUMMATION BY GAUSSIAN QUADRATURE

被引：0

作者：

GAUTSCHI, W

机构：

来源：

MATHEMATICS OF COMPUTATION | 1991年 / 57卷 / 195期

关键词：

SLOWLY CONVERGENT SERIES; LAPLACE TRANSFORMATION; SUMMATION BY QUADRATURE; GAUSSIAN QUADRATURE; ORTHOGONAL POLYNOMIALS;

D O I：

10.2307/2938676

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Series are considered whose general term is a rational function multiplied by a fractional power. The summation of such series is reduced, via Laplace transformation techniques, to a problem of quadrature, which is then solved by Gaussian quadrature relative to Einstein and Fermi weight functions. A number of examples are worked out in detail.

引用

页码：309 / 325

页数：17

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