| Title:
|
On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial (English) |
| Author:
|
Li, Xiao-Min |
| Author:
|
Yi, Hong-Xun |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
4 |
| Year:
|
2009 |
| Pages:
|
1039-1058 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire function. The results in this paper improve many known results. Some examples are provided to show that the results in this paper are the best possible. (English) |
| Keyword:
|
entire functions |
| Keyword:
|
order of growth |
| Keyword:
|
shared values |
| Keyword:
|
uniqueness theorems |
| MSC:
|
30D30 |
| MSC:
|
30D35 |
| idZBL:
|
Zbl 1224.30144 |
| idMR:
|
MR2563576 |
| . |
| Date available:
|
2010-07-20T15:56:58Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140535 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
