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Growth and oscillation theories of differential polynomials. (English) Zbl 1274.34164
Summary: We investigate the complex oscillation and the growth of some differential polynomials generated by the solutions of the differential equation $f''+A_1(z)f'+A_0(z)f=F,$ where $$A_1$$, $$A_0$$ ($$\neq0$$), and $$F$$ are meromorphic functions of finite order.
##### MSC:
 34D35 Stability of manifolds of solutions to ordinary differential equations 34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain 34M05 Entire and meromorphic solutions to ordinary differential equations in the complex domain