On oscillation theorems for differential polynomials
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Volume Title
Publisher
Electronic Journal of Qualitative Theory of Differential Equations
Abstract
In this paper, we investigate the relationship between small
functions and differential polynomials gf (z) = d2f
00
+ d1f
0
+ d0f, where
d0 (z), d1 (z), d2 (z) are meromorphic functions that are not all equal to zero
with finite order generated by solutions of the second order linear differential
equation
f
00
+ Af0
+ Bf = F,
where A, B, F 6≡ 0 are finite order meromorphic functions having only finitely
many poles.