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Fixed points and hyper-order of differential polynomials generated by solutions of differential equation. (English) Zbl 1071.30029
Authors’ abstract: This article studies the problem on the fixed points and hyper-order of differential polynomials generated by solutions of two types of second-order differential equations. Because of the control of differential equation, we can obtain some precise estimates of their hyper-order and fixed points.
Reviewer’s remark: On oscillatory solutions of more general type of differential polynomials (with small functions as the coefficients) was obtained in a paper by Y. T. Wang entitled “Oscillatory solutions of nonhomogeneous linear differential equations” [Arch. Math. 68, No. 4, 300–310 (1997; Zbl 0870.34003)].

MSC:
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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