Proceedings of the American Mathematical Society

Author(s): J. K. Langley
Journal: Proc. Amer. Math. Soc. 137 (2009), 3355-3367.
MSC (2000): Primary 30D20, 30D35
Posted: May 21, 2009
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Abstract: The main result of this paper determines all real meromorphic functions

of finite order in the plane such that

has finitely many zeros while

and $f^{(k)}$ , for some $k \geq 2$ , have finitely many non-real zeros.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 30D20, 30D35

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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