Title :
Discussion of Complex integration on Complex Contours
Author_Institution :
Dept. of Math. & Inf. Sci., Tangshan Teacher´´s Coll., Tangshan, China
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;
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
DOI :
10.1109/CDEE.2010.16
