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THE SECOND DERIVATIVE OF A MEROMORPHIC FUNCTION OF FINITE ORDER

Published online by Cambridge University Press:  24 March 2003

J. K. LANGLEY
J. K. LANGLEY
Affiliation:
School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD jkl@maths.nott.ac.uk
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Abstract

Let $f$ be meromorphic of finite order in the plane, such that the second derivative $f^{\prime\prime}$ has finitely many zeros. Then $f$ has finitely many poles. This result was conjectured by the author in 1996, and an example shows that the theorem is sharp.

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Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 1 , January 2003 , pp. 97 - 108
Copyright
© The London Mathematical Society 2003

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