Topics in Nevanlinna theory

Topics in Nevanlinna theory

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 const...

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Bibliographic Details
Main Author: Buck, Matthew M.
Published: University of Nottingham 2013
Subjects:
515.98
QA299 Analysis
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.580217
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spelling ndltd-bl.uk-oai-ethos.bl.uk-5802172015-03-20T03:17:38ZTopics in Nevanlinna theoryBuck, Matthew M.2013Nevanlinna 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.515.98QA299 AnalysisUniversity of Nottinghamhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.580217http://eprints.nottingham.ac.uk/13433/Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 515.98
QA299 Analysis
spellingShingle 515.98
QA299 Analysis
Buck, Matthew M.
Topics in Nevanlinna theory
description 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.
author Buck, Matthew M.
author_facet Buck, Matthew M.
author_sort Buck, Matthew M.
title Topics in Nevanlinna theory
title_short Topics in Nevanlinna theory
title_full Topics in Nevanlinna theory
title_fullStr Topics in Nevanlinna theory
title_full_unstemmed Topics in Nevanlinna theory
title_sort topics in nevanlinna theory
publisher University of Nottingham
publishDate 2013
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.580217
work_keys_str_mv AT buckmatthewm topicsinnevanlinnatheory
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