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亚纯函数分担值理论的回顾与展望
引用本文:田长生.亚纯函数分担值理论的回顾与展望[J].海南大学学报(自然科学版),1994,12(1):59-65.
作者姓名:田长生
作者单位:广东民族学院计算机与信息管理系
摘    要:亚纯函数的值分布问题吸引了许多函数论工作者,1977年前近半个世纪来的值分布论的主要成果大多体现在杨乐的专著《值分布论及其新研究》中,而这十多年来,广大函数论工作者利用各种数学工具,从各方面继续对此进行了研究,取得了丰硕的成果。本文仅从亚纯函数与其导数、特征函数、亏量、小函数四方面入手,对两个函数分担值理论的研究予以回顾和展望。

关 键 词:亚纯函数,Nevanlinna理论,分担值,特征函数,亏量,小函数,Picard例外值

A Eecall and Prospect of the Theory of the Share Value of Meromorphic Function
Tian Changsheng.A Eecall and Prospect of the Theory of the Share Value of Meromorphic Function[J].Natural Science Journal of Hainan University,1994,12(1):59-65.
Authors:Tian Changsheng
Abstract:The value distribution of meromorphic function makes a great appeal to lots of theoret-ical workers on this issue. The significant achievements made for nearly half a century's study(before 1977) are mainly included in the work-The Theory and the Recent Researchof ValueDistribution, by Yang Le. But recently, in more than a decade's time, great successes have beenscored by workers dedicated to the study of function, who have made continuous research on thisissue from different views and with different mathematical methods. This article is aimed at a re-call and prospect of the theory study of the share value for two functions, based on the study ofmeromorphic function and other four subjects as derivate, characteristic function, dificient numberand minor function.
Keywords:meromorphic function  Nevanlinna theory  share value  characteristic function  dificient number  minor function  Picard-Exceptional value
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