Poisson-Jensen公式的推广和应用  

Generalization and Application of Poisson-Jensen′s Formula

作　　者：刘祖邦[1] 俞诗秋[1] 

机构地区：[1]中南民族大学计算机科学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2008年第2期106-110,共5页Journal of South-Central University for Nationalities：Natural Science Edition

摘　　要：在一含有亚纯函数的零点和极点的圆周内及其上,讨论了Poisson-Jensen公式的推广.由计算有关函数的积分和亚纯函数的留数,并取它们的实部得到了形式上与原来的Poisson-Jensen公式类似的结果,通过将其应用到实例中,说明它是正确的.This paper discussed the generalization of Poisson-Jensen＇s formula in the circle and on it which contains zeroes and poles of the meromorphic function. By calculating the relative integrals of the function and the residues of a meromorphic function and taking their real part, thus this paper got the analogous result with primitive Poisson-Jensen＇s formula in form,then applied the analogous result to a practical example,it illustrated correctly.

关 键 词：亚纯函数 零点 极点 留数 实部 

分 类 号：O173[理学—数学]