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The frequency of the zeros of some differential polynomials

机译：The frequency of the zeros of some differential polynomials

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摘要

Let ρ p ( f ) and σ p ( f ) denote respectively the iterated p -order and the iterated p -type of an entire function f. In this paper, we study the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation f″+A1(z)f′+A0(z)f=0,$$f'' + A_1 (z)f^prime + A_0 (z)f = 0,$$ where A 1 ( z ), A 0 ( z ) are entire functions of finite iterated p -order such that ρ p ( A 1 ) = ρ p ( A 0 ) = ρ (0 ρ + ∞) and σ p ( A 1 ) σ p ( A 0 ) = σ (0 σ + ∞).

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