Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions

被引：9

作者：

Gautschi, W ^{[1
]}

机构：

[1] Purdue Univ, Dept Comp Sci, W Lafayette, IN 47907 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 139卷 / 01期

关键词：

D O I：

10.1016/S0377-0427(01)00383-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Integral representations of hypergeometric and confluent hypergeometric functions with real parameters and complex arguments are used to approximate these functions by Gaussian quadrature. An analysis is given of the errors involved and of estimates of the number of Gauss points required to achieve any given accuracy. Numerical examples illustrate the theory. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：173 / 187

页数：15

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