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On the zeros of (f″ + αf)f and a result of Steinmetz

Published online by Cambridge University Press:  14 November 2011

J. K. Langley
J. K. Langley
Affiliation:
Department of Mathematical Sciences, University of St Andrews, North Haugh, St Andrews KY16 9SS, Scotland, U.K.
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Synopsis

We characterise all functions f meromorphic of finite order in the plane such that fF has only finitely many zeros, where F = f″ + αf for some constant α. The problem is related to results of N. Steinmetz and others.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 3-4 , 1988 , pp. 241 - 247
Copyright
Copyright © Royal Society of Edinburgh 1988

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