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Non-real zeros of real differential polynomials

Published online by Cambridge University Press:  03 June 2011

J. K. Langley
J. K. Langley
Affiliation:
School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, UK (jkl@maths.nott.ac.uk)
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Abstract

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The main results of the paper determine all real meromorphic functions f of finite lower order in the plane such that f has finitely many zeros and non-real poles and such that certain combinations of derivatives of f have few non-real zeros.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 3 , June 2011 , pp. 631 - 639
Copyright
Copyright © Royal Society of Edinburgh 2011