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On differential polynomials, fixpoints and critical values of meromorphic functions

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Abstract

We prove some results concerning functions ƒ meromorphic of finite lower order in the plane, such that ƒƒ″−α(ƒ′)2 has few zeros, where α is a constant, using in part new estimates for the multipliers at fixpoints of certain functions. We go on to consider zeros of derivatives and the minimal lower growth of meromorphic functions with finitely many critical values.

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  1. Department of Mathematics, University of Nottingham, NG7 2RD

    J.K. Langley

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Langley, J. On differential polynomials, fixpoints and critical values of meromorphic functions. Results. Math. 35, 284–309 (1999). https://doi.org/10.1007/BF03322820

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