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A TROPICAL ANALOGUE OF THE LEMMA ON THE LOGARITHMIC DERIVATIVE

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  20 May 2024

JUHO HALONEN Open the ORCID record for JUHO HALONEN [Opens in a new window]
JUHO HALONEN*
Affiliation:
Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, Finland
*
e-mail: juho.halonen@uef.fi
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Abstract

The tropical analogue of the lemma on the logarithmic derivative is generalised for noncontinuous tropical meromorphic functions, that is, piecewise linear functions that may have discontinuities. In addition, two Borel type results are generalised for piecewise continuous functions. With the generalisation of the tropical analogue of the lemma on the logarithmic derivative, several tropical analogues of Clunie and Mohon’ko type results are also automatically generalised for noncontinuous tropical meromorphic functions.

Keywords

tropical Nevanlinna theorytropical meromorphic functionspiecewise linear functionslemma on the logarithmic derivative

MSC classification

Secondary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , First View , pp. 1 - 10
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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