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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Non-real zeros of derivatives of real meromorphic functions

Author(s): J. K. Langley
Journal: Proc. Amer. Math. Soc. 137 (2009), 3355-3367.
MSC (2000): Primary 30D20, 30D35
Posted: May 21, 2009
MathSciNet review: 2515405
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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
Email: jkl@maths.nottingham.ac.uk

DOI: 10.1090/S0002-9939-09-09979-1
PII: S 0002-9939(09)09979-1
Received by editor(s): January 7, 2009
Posted: 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
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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