| dc.contributor | 國立政治大學應用數學學系 | en_US |
| dc.contributor | 行政院國家科學委員會 | en_US |
| dc.creator (作者) | 陳天進 | zh_TW |
| dc.date (日期) | 2008 | en_US |
| dc.date.accessioned | 24-Oct-2012 16:13:40 (UTC+8) | - |
| dc.date.available | 24-Oct-2012 16:13:40 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-Oct-2012 16:13:40 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/54039 | - |
| dc.description.abstract (摘要) | 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。 | en_US |
| dc.description.abstract (摘要) | 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. | en_US |
| dc.language.iso | en_US | - |
| dc.relation (關聯) | 基礎研究 | en_US |
| dc.relation (關聯) | 學術補助 | en_US |
| dc.relation (關聯) | 研究期間:9708~ 9807 | en_US |
| dc.relation (關聯) | 研究經費:317仟元 | en_US |
| dc.subject (關鍵詞) | 數學 | en_US |
| dc.title (題名) | 半純函數之值分佈與其相關問題 | zh_TW |
| dc.title.alternative (其他題名) | Value Distribution of Meromorphic Functions and Its Related Problems | en_US |
| dc.type (資料類型) | report | en |
