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Picard-Hayman behavior of derivatives of meromorphic functions with multiple zeros


Authors: Shahar Nevo, Xuecheng Pang and Lawrence Zalcman
Journal: Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 37-43
MSC (2000): Primary 30D35, 30D45
Published electronically: March 31, 2006
MathSciNet review: 2218629
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Abstract: The derivative of a transcendental meromorphic function all of whose zeros are multiple assumes every nonzero complex value infinitely often.


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Additional Information

Shahar Nevo
Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel
Email: nevosh@macs.biu.ac.il

Xuecheng Pang
Affiliation: Department of Mathematics, East China Normal University, Shanghai 20062, P. R. China
Email: xcpang@euler.math.ecnu.edu.cn

Lawrence Zalcman
Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel
Email: zalcman@macs.biu.ac.il

DOI: http://dx.doi.org/10.1090/S1079-6762-06-00158-2
PII: S 1079-6762(06)00158-2
Keywords: Meromorphic functions, quasinormal families.
Received by editor(s): November 23, 2005
Published electronically: March 31, 2006
Additional Notes: This work was supported by the German-Israel Foundation for Scientific Research and Development G.I.F. Grant No. I-809-234-6/2003.
Communicated by: Svetlana Katok
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.