Computational Methods and Function Theory 2 (2002), No. 2, 539--547
Copyright Heldermann Verlag 2002
James K. Langley
jkl@maths.nott.ac.uk, School of Mathematical Sciences, University of Nottingham, NG7 2RD, U.K.
Let $f$ be transcendental and meromorphic in the plane. We obtain sharp lower bounds for the growth of $f$, in terms of the minimum spherical distance between the critical values of $f$. The extremal examples arise from elliptic functions.
Keywords: Meromorphic function, critical value, Nevanlinna theory, elliptic function.
MSC 2000: 30D35.
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