On the growth of meromorphic solutions of an algebraic differential equation (Q1059201)

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scientific article; zbMATH DE number 3903079
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On the growth of meromorphic solutions of an algebraic differential equation
scientific article; zbMATH DE number 3903079

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    On the growth of meromorphic solutions of an algebraic differential equation (English)
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    1984
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    The author considers the differential equation \(P(z,w,w',...,w^{(n)})=A(z,w)/B(z,w)\) where P, A, B are polynomials in w (and its derivatives) whose coefficients are meromorphic functions of z. The aim of the paper is a detailed estimate for T(r,w). Here T denotes Nevanlinna's characteristic function.
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    algebraic differential equation
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    meromorphic coefficients
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    Nevanlinna's characteristic function
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