| Title:
|
The fixed points and iterated order of some differential polynomials (English) |
| Author:
|
Belaidi, Benharrat |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2009 |
| Pages:
|
209-219 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is devoted to considering the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation $$ f^{^{\prime \prime }}+A_{1}(z) f^{^{\prime }} + A_{0}(z) f=F, $$ where $A_{1}(z)$, $A_{0}(z)$ $(\not\equiv 0)$, $F$ are meromorphic functions of finite iterated $p$-order. (English) |
| Keyword:
|
linear differential equations |
| Keyword:
|
differential polynomials |
| Keyword:
|
meromorphic solutions |
| Keyword:
|
iterated order |
| Keyword:
|
iterated exponent of convergence of the sequence of distinct zeros |
| MSC:
|
30D35 |
| MSC:
|
34M10 |
| idZBL:
|
Zbl 1212.34278 |
| idMR:
|
MR2537832 |
| . |
| Date available:
|
2009-08-18T12:24:40Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133429 |
| . |
| 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:
|
[9] Liu M.S., Zhang X.M.: Fixed points of meromorphic solutions of higher order linear differential equations.Ann. Acad. Sci. Fenn. Math. 31 (2006), 191--211. Zbl 1094.30036, MR 2210116 |
| Reference:
|
[10] Nevanlinna R.: Eindeutige Analytische Funktionen.Zweite Auflage, reprint, Die Grundlehren der mathematischen Wissenschaften, 46, Springer, Berlin-New York, 1974. Zbl 0278.30002, MR 0344426 |
| Reference:
|
[11] Wang J., Yi H.X.: Fixed points and hyper order of differential polynomials generated by solutions of differential equation.Complex Var. Theory Appl. 48 (2003), 1 83--94. Zbl 1071.30029, MR 1953763, 10.1080/0278107021000037048 |
| Reference:
|
[12] Zhang Q.T., Yang C.C.: The Fixed Points and Resolution Theory of Meromorphic Functions.Beijing University Press, Beijing, 1988 (in Chinese). |
| . |
