Topics in Nevanlinna theory

Buck, Matthew M. (2013) Topics in Nevanlinna theory. PhD thesis, University of Nottingham.

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Abstract

Nevanlinna Theory is a powerful quantitative tool used to study the growth and behaviour of meromorphic functions on the complex plane. It plays an important role in value distribution theory, including generalising Picard's theorem that an entire function which omits two finite values is constant. The Nevanlinna Characteristic T(r,f) is a measure of a function's growth, and its associated counting function estimates how often certain values are taken. Using these tools, as well as other forms of modern complex analysis, we investigate several problems relating to differential polynomials in meromorphic functions. We also present a result relating to integer-valued meromorphic functions.

Item Type: Thesis (University of Nottingham only) (PhD)
Supervisors: Langley, J.K.
Nicks, D.A.
Subjects: Q Science > QA Mathematics > QA299 Analysis
Faculties/Schools: UK Campuses > Faculty of Science > School of Mathematical Sciences
Item ID: 13433
Depositing User: EP, Services
Date Deposited: 25 Oct 2013 11:29
Last Modified: 14 Sep 2016 11:26
URI: http://eprints.nottingham.ac.uk/id/eprint/13433

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