Discussion of Complex integration on Complex Contours

Author

Zhang, Qing

Author_Institution

Dept. of Math. & Inf. Sci., Tangshan Teacher´´s Coll., Tangshan, China

fYear

2010

fDate

23-24 Oct. 2010

Firstpage

38

Lastpage

40

Abstract

This paper elaborated on the complex integration on the complex contour, and gave the calculation formula of complex integrals according to different cases with different number of singular points, namely, one singular point, n singular points, infinite singular points (countable). Therefore, it is easy to analysis and understand the development and establishment of complex integration on complex contour. Besides, this paper introduced and proved an "improved residue theorem" base on the famous residue theorem, which make it possible to calculate complex integral with countable singular point in an unbounded region.

Keywords

integral equations; integration; complex contour; complex integration; residue theorem; singular point; Education; Equations; Information science; Integral equations; Mathematical model; Presses; Complex Contour; Complex Integral; Residue; Singular Point;

fLanguage

English

Publisher

ieee

Conference_Titel

Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on

Conference_Location

Qinhuangdao

Print_ISBN

978-1-4244-9595-5

Type

conf

DOI

10.1109/CDEE.2010.16

Filename

5759413