Tau method approximation of a generalized Epstein-Hubbell elliptic-type integral

被引：4

作者：

Khajah, HG ^{[1
]}

机构：

[1] Coll Tech Studies Paaet, Dept Appl Sci, Bayan 43759, Kuwait

来源：

MATHEMATICS OF COMPUTATION | 1999年 / 68卷 / 228期

关键词：

Tau method approximation; elliptic-type integrals; hypergeometric functions;

D O I：

10.1090/S0025-5718-99-01128-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the evaluation of a recent generalization of the Epstein-Hubbell elliptic-type integral using the tan method approximation with a Chebyshev polynomial basis. This also leads to an approximation of Lauricella's hypergeometric function of three variables. Numerical results are given for polynomial approximations of degree 6.

引用

页码：1615 / 1621

页数：7

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[1] ON THE EPSTEIN-HUBBELL GENERALIZED ELLIPTIC-TYPE INTEGRAL
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