Indefinite integrals of quotients of Gauss hypergeometric functions

被引：6

作者：

Conway, John T. ^{[1
]}

机构：

[1] Univ Agder, Dept Sci & Engn, Grimstad, Norway

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2018年 / 29卷 / 06期

关键词：

Quotients; Gauss hypergeometric functions; Bessel functions; associated Legendre functions; 33C10; 33C55; 33C05;

D O I：

10.1080/10652469.2018.1451527

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method recently applied to obtain indefinite integrals involving quotients of some common special functions is applied to obtain indefinite integrals of some quotients of Gauss hypergeometric functions. The number of quotient integrals given by the method is equal to the square of the number of integrable recurrence relations satisfied by the function, in this case giving 8 x 8 = 64 quotient integrals. All results have been checked numerically using Mathematica.

引用

页码：417 / 430

页数：14

共 6 条

[1]

[Anonymous], 2000, The mathematica book

[2] Indefinite integrals of quotients of special functions [J].