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Differential polynomials generated by linear differential equations
Abstract:This article is devoted to considering value distribution theory of differential polynomials generated by solutions of linear differential equations in the complex plane. In particular, we consider normalized second-order differential equations f″+A(z)f=0, where A(z) is entire. Most of our results are treating the growth of such differential polynomials and the frequency of their fixed points, in the sense of iterated order.
Keywords:Differential polynomials  Linear differential equations  Iterated order of growth  2000 Mathematics Subject Classification: Primary 34M05  Secondary 30D35
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