ON THE NUMERICAL EVALUATION OF LEGENDRES CHI-FUNCTION

被引：16

作者：

BOERSMA, J ^{[1
]}

DEMPSEY, JP ^{[1
]}

机构：

[1] CLARKSON UNIV,DEPT CIVIL & ENVIRONM ENGN,POTSDAM,NY 13699

来源：

MATHEMATICS OF COMPUTATION | 1992年 / 59卷 / 199期

关键词：

D O I：

10.2307/2152987

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Legendre's chi-function, chi(n)(Z) = SIGMA(k=0)infinity Z2k+1/(2k + 1)n, is reexpanded in a power series in powers of log Z . The expansion obtained is well suited for the computation of chi(n) (Z) in the two cases of real z close to 1, and z = e(i-alpha), alpha is-an-element-of R. For n = 2 and n = 3, the present computational procedure is shown to be superior to the procedure recently proposed by Dempsey, Liu, and Dempsey, which uses Plana's summation formula.

引用

页码：157 / 163

页数：7