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政大機構典藏 > 理學院 > 應用數學系 > 國科會研究計畫 > Item 140.119/54039

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/54039

Title:	半純函數之值分佈與其相關問題
Other Titles:	Value Distribution of Meromorphic Functions and Its Related Problems
Authors:	陳天進
Contributors:	國立政治大學應用數學學系行政院國家科學委員會
Keywords:	數學
Date:	2008
Issue Date:	2012-10-24 16:13:40 (UTC+8)
Abstract:	Hayman 猜測對於任意的超越半純函數f (z)， f ` (z) f (z)n 取任意非零的值無窮多次，因此，很自然的問題是f (k ) (z) f (z)n，其中k 2，具有相同的結果；同時，在文獻上我們也知道f(z)af (z)n 取任意非零的值無窮多次，所以，我們也將探討 f (k ) (z)af (z)n的值分佈，這些是本計畫研究的一部分。另外，本計畫也將著重於兩個半純函數共值或共小函數的問題進行研究。 A famous conjecture of Hayman says that if f (z) is a transcendental meromorphic function, then f ` (z) f (z)n assumes all finite values except possibly zero infinitely often. The conjecture was solved in most cases. Therefore, it is natural to ask what is the value distribution of f (k ) (z) f (z)n ? Also, we know that f(z)af (z)n assumes all finite values except possibly zero infinitely often. So, we can ask the same question for f (k ) (z)af (z)n . This is a part of the project which we will study. Another part is to study the problems of sharing values (small functions) of two meromorphic functions.
Relation:	基礎研究學術補助研究期間:9708~ 9807 研究經費:317仟元
Data Type:	report
Appears in Collections:	[應用數學系] 國科會研究計畫

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