On oscillation theorems for differential polynomials

A. El Farissi, University of Mostaganem, Mostaganem, Algeria
B. Belaidi, University of Mostaganem, Mostaganem, Algeria

E. J. Qualitative Theory of Diff. Equ., No. 22. (2009), pp. 1-10.

Abstract: 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.

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