Value distribution of meromorphic functions
Value distribution of meromorphic functions
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DOI：
10.1007/978-3-642-12909-4
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Jian-Hua Zheng
中科院分区：
文献类型：
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作者：
Jian-Hua Zheng
“亚纯函数的值分布”主要讨论在一个角度或复平面上亚纯的函数、T方向、亏值、奇异值、值分布中的势理论以及著名的Nevanlinna猜想的证明。这本书介绍了各种特点的亚纯函数及其连接，几个方面的新的奇异方向，新的成果估计的数量不足的价值观，新的成果奇异值和行为的次调和函数这是基础，进一步讨论的证明Nevanlinna猜想。强调了次调和函数族正规性的独立意义。这本书是专为科学家，工程师和研究生毕业的学生从事复分析和亚纯函数。郑建华博士是清华大学数学科学系教授。
" Value Distribution of Meromorphic Functions" focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated Nevanlinna conjecture. The book introduces various characteristics of meromorphic functions and their connections, several aspects of new singular directions, new results on estimates of the number of deficient values, new results on singular values and behaviours of subharmonic functions which are the foundation for further discussion on the proof of the Nevanlinna conjecture. The independent significance of normality of subharmonic function family is emphasized. This book is designed for scientists, engineers and post graduated students engaged in Complex Analysis and Meromorphic Functions. Dr. Jianhua Zheng is a Professor at the Department of Mathematical Sciences, Tsinghua University, China.