| Title:
|
Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations (English) |
| Author:
|
LATREUCH, Zinelâabidine |
| Author:
|
BELAÏDI, Benharrat |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
81-94 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation \[ f^{(k)}+A_{k-1}(z) f^{(k-1)}+\cdots +A_1(z) f^{\prime }+A_0(z) f=0, \] where $A_{i}(z)$ $(i=0,1,\cdots ,k-1)$ are meromorphic functions of finite order in the complex plane. (English) |
| Keyword:
|
Linear differential equations |
| Keyword:
|
finite order |
| Keyword:
|
hyper-order |
| Keyword:
|
exponent of convergence of the sequence of distinct zeros |
| Keyword:
|
hyper-exponent of convergence of the sequence of distinct zeros |
| MSC:
|
30D35 |
| MSC:
|
34M10 |
| idZBL:
|
Zbl 1345.30032 |
| idMR:
|
MR3468602 |
| . |
| Date available:
|
2015-09-01T09:01:05Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144369 |
| . |
| Reference:
|
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| Reference:
|
[2] Cao, T. B., Chen, Z. X., Zheng, X. M., Tu, J.: On the iterated order of meromorphic solutions of higher order linear differential equations. Ann. Differential Equations 21, 2 (2005), 111–122. MR 2153797 |
| 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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| 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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| . |
