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On the zeros of the second derivative
Published online by Cambridge University Press: 14 November 2011
Abstract
Suppose that f is meromorphic of finite order in the plane, and that f″ has only finitely many zeros. We prove a strong estimate for the frequency of distinct poles of f. In particular, if the poles of f have bounded multiplicities, then f has only finitely many poles.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 2 , 1997 , pp. 359 - 368
- Copyright
- Copyright © Royal Society of Edinburgh 1997
References
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