亚纯函数的例外值

Exceptional Values of Meromorphic Functions

1 引言 设f(z)于开平面亚纯。我们将使用Nevanlinna基本理论及下述常用记号: T(r,f),m(r,f),N(r,f),δ(a,f),S(r,f),n(r,a)。此外,我们用λ(f)与μ(f)分别表示f(z)的级与下级。 设a为任一复数.如果f不取值a,则称a为f的Picard例外值;

During the recent years, a great deal of progress lias been made for the study of exceptional values of meromorphic functions, and more and more applications and relations to other fields are discovered. This paper is a survey of this field.It contains seven parts. Fundamental concepts and theorems; exceptional values of differential polynomials; meromorphic solutions of difference equations; meromorphic solutions of linear differential equations; deficiencies of composite functions; an inverseanproblem; some open problems.