On defining the incomplete Gamma function

被引：21

作者：

Fisher, B ^{[1
]}

Jolevsaka-Tuneska, B

Kiliçman, A

机构：

[1] Univ Leicester, Dept Math & Comp Sci, Leicester LE1 7RH, Leics, England

[2] De Montfort Univ, SERC, Inst Simulat Sci, Leicester LE1 9BH, Leics, England

[3] Fac Elect Engn, Skopje, Macedonia

[4] Univ Pertanian Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia

[5] Univ Pertanian Malaysia, Inst Adv Technol, Theoret Studies Lab, Serdang 43400, Selangor, Malaysia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2003年 / 14卷 / 04期

关键词：

Gamma function; incomplete Gamma function; Delta function;

D O I：

10.1080/1065246031000081667

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The incomplete Gamma function gamma(alpha, x(+)) is defined as locally summable function on the real line for alpha < 0 by γ(α, x(+)) = ∫(x)(0)+ u(alpha-1) e(-u) du, the integral diverging for alpha less than or equal to 0. The incomplete Gamma function can be defined as a distribution for alpha < 0 and α ¬equal; -1, -2,... by using the recurrence formula γ(α + 1, x(+)) = αγ(α, x(+)) -x(+)(alpha)e(-x). In the following, we define the distribution gamma(-m,x(+)) for m = 0, 1, 2,....

引用

页码：293 / 299

页数：7