The size of Wiman–Valiron discs for subharmonic functions of a certain type

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FENTON, P.C. and LINGHAM, Eleanor (2016). The size of Wiman–Valiron discs for subharmonic functions of a certain type. Complex Variables and Elliptic Equations, 61 (4), 456-468.

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Official URL: https://www.tandfonline.com/doi/abs/10.1080/174769...
Link to published version:: https://doi.org/10.1080/17476933.2015.1095186
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    Abstract

    Wiman–Valiron theory and the results of Macintyre about “flat regions” describe the asymptotic behaviour of entire functions in certain discs around maximum points. We use a technique of Bergweiler, Rippon and Stallard to describe the asymptotic behaviour of a certain type of subharmonic function, and a technique of Bergweiler to estimate the size of its Wiman–Valiron discs from above and below. The results are extended to -subharmonic functions.

    Item Type: Article
    Uncontrolled Keywords: 0101 Pure Mathematics
    Identification Number: https://doi.org/10.1080/17476933.2015.1095186
    Page Range: 456-468
    SWORD Depositor: Symplectic Elements
    Depositing User: Symplectic Elements
    Date Deposited: 26 Mar 2019 10:53
    Last Modified: 18 Mar 2021 06:20
    URI: https://shura.shu.ac.uk/id/eprint/24259

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