Reductions of a generalized incomplete gamma function, related Kampe de Feriet functions, and incomplete Weber integrals

被引：15

作者：

Miller, AR

机构：

[1] Washington, DC, 20009-2525

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2000年 / 30卷 / 02期

关键词：

generalizations of the incomplete gamma function; Kampe de Feriet functions; integrals of Bessel functions;

D O I：

10.1216/rmjm/1022009290

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive several reduction formulas for specializations of a certain generalized incomplete gamma function and its associated Kampe de Feriet function F-2:0;0(0:2;1)[x,y]. Reductions of specializations of incomplete Weber integrals of modified Bessel functions and related functions F-1:0;1(1:0;0)[x,y], F-1:0;0(0:1;0)[x,y] heretofore also unavailable are deduced.

引用

页码：703 / 714

页数：12

共 8 条

[1] GENERALIZED INCOMPLETE GAMMA-FUNCTIONS WITH APPLICATIONS [J].

CHAUDHRY, MA ;

ZUBAIR, SM .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 55 (01) :99-124

[2] Asymptotics and closed form of a generalized incomplete gamma function [J].

Chaudhry, MA ;

Temme, NM ;

Veling, EJM .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 67 (02) :371-379

[3]

EXTON H, 1997, REGISTER COMPUTER OR

[4]

Luke YL, 1962, Integrals of Bessel Functions

[5] INCOMPLETE WEBER INTEGRALS OF CYLINDRICAL-FUNCTIONS [J].

MILLER, AR ;

MOSKOWITZ, IS .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1991, 328 (04) :445-457

[6] On certain generalized incomplete gamma functions [J].

Miller, AR ;

Moskowitz, IS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 91 (02) :179-190

[7]

Srivastava H. M., 1985, MULTIPLE GAUSSIAN HY

[8]

VELING EJM, 1997, SIAM REV, V39, P787

← 1 →