Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Non-real zeros of derivatives of real meromorphic functions

Author: J. K. Langley
Journal: Proc. Amer. Math. Soc. 137 (2009), 3355-3367
MSC (2000): Primary 30D20, 30D35
Published electronically: May 21, 2009
MathSciNet review: 2515405
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Abstract: The main result of this paper determines all real meromorphic functions $ f$ of finite order in the plane such that $ f'$ has finitely many zeros while $ f$ and $ f^{(k)}$, for some $ k \geq 2$, have finitely many non-real zeros.

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Additional Information

J. K. Langley
Affiliation: School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom

Received by editor(s): January 7, 2009
Published electronically: May 21, 2009
Additional Notes: The author’s research was supported by the Engineering and Physical Sciences Research Council grant EP/D065321/1
Communicated by: Mario Bonk
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.