On oscillation theorems for differential polynomials
In this paper, we investigate the relationship between small functions and differential polynomials $g_{f}\left( z\right)=d_{2}f^{^{\prime \prime }} + d_{1}f^{^{\prime }}+d_{0}f$, where $d_{0}\left(z\right), d_{1}\left( z\right), d_{2}\left( z\right) $ are meromorphic functions that are not all equa...
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| Language: | English |
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University of Szeged
2009-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=375 |
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doaj-29043f4ab33d4298b48a8ec860bfe74f2021-07-14T07:21:20ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752009-04-0120092211010.14232/ejqtde.2009.1.22375On oscillation theorems for differential polynomialsA. El Farissi0B. Belaidi1University of Mostaganem, Mostaganem, AlgeriaUniversity of Mostaganem, Mostaganem, AlgeriaIn this paper, we investigate the relationship between small functions and differential polynomials $g_{f}\left( z\right)=d_{2}f^{^{\prime \prime }} + d_{1}f^{^{\prime }}+d_{0}f$, where $d_{0}\left(z\right), d_{1}\left( z\right), d_{2}\left( z\right) $ are meromorphic functions that are not all equal to zero with finite order generated by solutions of the second order linear differential equation \begin{equation*} f^{^{\prime \prime }}+Af^{^{\prime }}+Bf=F, \end{equation*} where $A,$ $B,$ $F\not\equiv 0$ are finite order meromorphic functions having only finitely many poles.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=375 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. El Farissi B. Belaidi |
| spellingShingle |
A. El Farissi B. Belaidi On oscillation theorems for differential polynomials Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
A. El Farissi B. Belaidi |
| author_sort |
A. El Farissi |
| title |
On oscillation theorems for differential polynomials |
| title_short |
On oscillation theorems for differential polynomials |
| title_full |
On oscillation theorems for differential polynomials |
| title_fullStr |
On oscillation theorems for differential polynomials |
| title_full_unstemmed |
On oscillation theorems for differential polynomials |
| title_sort |
on oscillation theorems for differential polynomials |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2009-04-01 |
| description |
In this paper, we investigate the relationship between small functions and differential polynomials $g_{f}\left( z\right)=d_{2}f^{^{\prime \prime }} + d_{1}f^{^{\prime }}+d_{0}f$, where $d_{0}\left(z\right), d_{1}\left( z\right), d_{2}\left( z\right) $ are meromorphic functions that are not all equal to zero with finite order generated by solutions of the second order linear differential equation
\begin{equation*}
f^{^{\prime \prime }}+Af^{^{\prime }}+Bf=F,
\end{equation*}
where $A,$ $B,$ $F\not\equiv 0$ are finite order meromorphic functions having only finitely many poles. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=375 |
| work_keys_str_mv |
AT aelfarissi onoscillationtheoremsfordifferentialpolynomials AT bbelaidi onoscillationtheoremsfordifferentialpolynomials |
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1721303793021222912 |