Uniqueness Theory of Meromorphic Functions

Uniqueness Theory of Meromorphic Functions
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DOI:
10.1007/978-94-017-3626-8
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发表时间:
2004-12
期刊:
--
影响因子:
--
通讯作者:
Chung-Chun Yang;H. Yi
Chung-Chun Yang;H. Yi
中科院分区:
其他
文献类型:
--
作者:
Chung-Chun Yang;H. Yi

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本书是亚纯函数唯一性理论领域的第一本专着,讨论存在满足给定假设的唯一函数的条件。该领域的研究由芬兰数学家R. Nevanlinna于1920年代初提出,近三十年来发展迅速,取得了丰硕成果。本书系统地总结了该领域最重要的成果,包括许多作者自己以前未发表的成果。此外,还介绍了有用的技巧和简单的证明。本书适合具有复分析基础的高年级学生和研究生,但也对数学研究人员有吸引力。
This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. Developed by R. Nevanlinna, a Finnish mathematician, early in the 1920's, research in the field has developed rapidly over the past three decades with a great deal of fruitful results. This book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results. In addition, useful skills and simple proofs are introduced. This book is suitable for higher level and graduate students who have a basic grounding in complex analysis, but will also appeal to researchers in mathematics.