ON GENERALIZED GAMMA-FUNCTIONS OCCURRING IN DIFFRACTION THEORY

被引：65

作者：

KOBAYASHI, K

机构：

[1] Department of Electrical and Electronic Engineering, Chuo University, Bunkyo-ku, Tokyo 112

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1991年 / 60卷 / 05期

关键词：

SPECIAL FUNCTION; GAMMA-FUNCTION; ASYMPTOTIC EXPANSION; WIENER-HOPF TECHNIQUE; SCATTERING AND DIFFRACTION;

D O I：

10.1143/JPSJ.60.1501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

As a generalization of the Gamma function defined for a single complex variable, a new special function called a generalized Gamma function, defined for two complex variables and a positive integer, is introduced, and several important analytical properties are investigated in detail, which include regularity, asymptotic expansions and analytic continuations. Furthermore, as a function closely related to a generalized Gamma function, a generalized incomplete Gamma function, which is a generalization of the incomplete Gamma function, is also introduced, and some fundamental properties are investigated briefly.

引用

页码：1501 / 1512

页数：12