A supplement to a theorem of J. Clunie
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 2, pp. 143-147
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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.
@article{JMAG_2001_8_2_a2,
author = {A. A. Goldberg},
title = {A supplement to a theorem of {J.~Clunie}},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {143--147},
year = {2001},
volume = {8},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2001_8_2_a2/}
}
A. A. Goldberg. A supplement to a theorem of J. Clunie. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 2, pp. 143-147. http://geodesic.mathdoc.fr/item/JMAG_2001_8_2_a2/