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The fixed points and iterated order of some differential polynomials. (English) Zbl 1212.34278

Summary: The paper is devoted to considering the iterated order and the fixed points of some differential polynomials generated by the solutions of the differential equation \( f^{^{\prime \prime }}+A_{1}(z)f^{^{\prime }} + A_{0}(z) f=F, \) where \(A_{1}(z)\), \(A_{0}(z)\, (\not \equiv 0), \, F\) are meromorphic functions of finite iterated \(p\)-th order.

MSC:

34M03 Linear ordinary differential equations and systems in the complex domain
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
34M05 Entire and meromorphic solutions to ordinary differential equations in the complex domain
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