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

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

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
SWORD Depositor: Symplectic Elements
Depositing User: Symplectic Elements
Date Deposited: 26 Mar 2019 10:53
Last Modified: 27 Mar 2019 12:30
URI: http://shura.shu.ac.uk/id/eprint/24259

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