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The zeros of the first two derivatives of a meromorphic function

Author(s): J. K. Langley
Journal: Proc. Amer. Math. Soc. 124 (1996), 2439-2441.
MSC (1991): Primary 30D35
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Abstract: We prove a theorem which implies the following: if $f$ is meromorphic of finite order in the plane and $f'$ and $f''$ have only finitely many zeros, then $f$ has only finitely many poles.

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Additional Information:

J. K. Langley
Affiliation: Department of Mathematics, University of Nottingham, Nottingham, NG7 2RD, England
Email: jkl@maths.nott.ac.uk

DOI: 10.1090/S0002-9939-96-03350-3
PII: S 0002-9939(96)03350-3
Received by editor(s): February 20, 1995
Communicated by: Albert Baernstein II
Copyright of article: Copyright 1996, American Mathematical Society

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