Mathematical Sciences: Meromorphic Functions

数学科学：亚纯函数

• 批准号: 9500636
• 负责人: Alexandre Eremenko
• 金额: $ 7.5万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-07-01 至 1998-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9500636&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Meromorphic; Functions

Eremenko DMS-9500636 Eremenko will continue his study of distribution of values of meromorphic functions and meromorphic curves, using the new methods of potential theory, developed in his previous work. He will concentrate on the following topics: Picard theorems for differential polynomials, extremal cases in the defect relations, and the value distribution for holomorphic curves of finite order. Classical function theory has introduced geometric techniques which have proved to have far wider applicability than first imagined. The subject exploits the interplay between geometric interpretation with powerful analytic techniques to yield some of the most complete mathematical results in the field of analysis.

Eremenko将继续他的亚纯函数和亚纯曲线的值分布的研究，使用在他以前的工作中发展的势理论的新方法。他将集中于以下主题：微分多项式的皮卡德定理，缺陷关系的极值情况，有限阶全纯曲线的值分布。经典函数理论引入了几何技术，这些技术已被证明具有比最初想象的更广泛的适用性。该学科利用几何解释与强大的分析技术之间的相互作用，在分析领域产生一些最完整的数学结果。