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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 [email protected]
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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.

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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