Computational Methods and Function Theory 8 (2008), No. 1, 73--84
Copyright Heldermann Verlag 2008
James Langley
jkl@maths.nott.ac.uk , University of Nottingham, School of Mathematical Sciences, NG7 2RD, U.K.
Let S denote the class of functions f which are transcendental and meromorphic in the plane and have finitely many critical and asymptotic values. It is shown that if f∈S has finite lower order and f''/f' is non-constant then δ(0, f''/f') = 0. Moreover, the Gol'dberg conjecture holds for a function in S of finite order, at least on a set of logarithmic density 1.
Keywords: Meromorphic function, Nevanlinna deficiency, singularities, inverse function.
MSC 2000: 30D35.
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