Fixed points and hyper-order of differential polynomials generated by solutions of differential equation. (English) Zbl 1071.30029

Wang, Jun; Yi, Hong-Xun

Complex Variables, Theory Appl. 48, No. 1, 83-94 (2003).

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)].

Reviewer: Chung-Chun Yang (Kowloon)

MSC:

30D35

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Keywords:

second-order differential equation; fixed point; hyper-order; differential polynomial