Uniform convergence and the properties of the exponential and generalized exponential integral functions
β Scribed by Elgiz Bairamov; Seyhmus Yardimci
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 121 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0022-4073
No coin nor oath required. For personal study only.
β¦ Synopsis
The exponential integral function (EIF) and the generalized exponential integral function (GEIF) are defined as
e Γxu u Γy Γ°lnuΓ z 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.
π SIMILAR VOLUMES
This paper deals with some integrals involving the generalized exponential integral, Et,(x), which are of interest for applications. New relations have been derived by generalizing known expressions valid for v = n integer. Numerical results are also given, which extend existing tables to the entire
apparently new expansion of the exponential integral El in incomplete gamma functions is presented and shown to be a limiting csse of a more general expansion given by Mcomi in 1950 without proof. This latter expansion is proved here by interpreting it as a "multiplication theorem". A companion resu