Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations
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Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Abstract
This paper is devoted to considering the complex oscillation of differential
polynomials generated by meromorphic solutions of the differential
equation
f(k) + Ak−1(z)f(k−1) + · · · + A1(z)f
+ A0(z)f = 0,
where Ai(z) (i = 0, 1, · · · , k−1) are meromorphic functions of finite order
in the complex plane.