Uniform convergence and the properties of the exponential and generalized exponential integral functions

被引：4

作者：

Bairamov, Elgiz ^{[1
]}

Yardimci, Seyhmus ^{[1
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

来源：

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER | 2010年 / 111卷 / 16期

关键词：

Radiative transfer; Special functions; Exponential integral; Generalized exponential integral; Uniform convergence; ANISOTROPIC SCATTERING; RADIATIVE-TRANSFER;

D O I：

10.1016/j.jqsrt.2010.06.021

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The exponential integral function (EIF) and the generalized exponential function (GEIF) are defined as E(x,y) = integral(infinity)(1) e(-xu)u(-y) du and G(x,y,z) = 1/Gamma(z + 1) integral(infinity)(1) e(-xu)u(-y) (lnu)(2) du, respectively. In this paper, uniform convergences of the EIF and the GEIF are investigated. We also study the continuity differentiability and asymptotic behaviour of these functions. (C) 2010 Published by Elsevier Ltd.

引用

页码：2471 / 2473

页数：3

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