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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2001, Volume 8, Number 2, Pages 143–147 (Mi jmag335)  
A supplement to a theorem of J. Clunie

A. A. Goldberg

Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900 Israel
Full-text PDF (203 kB)
Abstract: In 1962, J. Clunie had proved that, if a function meromorphic in the finite complex plane has a finite number of zeros and poles and its second derivative has a finite number of zeros, then the function has a finite order. In this note, a formula for the order in terms of the number of zeros and poles of the function and its second derivative is proved.
Received: 15.01.2001
Bibliographic databases:
Document Type: Article
MSC: 30D35, 30F10
Language: Russian
Citation: A. A. Goldberg, “A supplement to a theorem of J. Clunie”, Mat. Fiz. Anal. Geom., 8:2 (2001), 143–147
Citation in format AMSBIB
\Bibitem{Gol01}
\by A.~A.~Goldberg
\paper A supplement to a theorem of J.~Clunie
\jour Mat. Fiz. Anal. Geom.
\yr 2001
\vol 8
\issue 2
\pages 143--147
\mathnet{http://mi.mathnet.ru/jmag335}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1859874}
\zmath{https://zbmath.org/?q=an:1060.30038}
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