A supplement to a theorem of J. Clunie

A. A. Goldberg

Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900 Israel

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.

MSC: 30D35, 30F10

Received: 15.01.2001

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