Computational Methods and Function Theory 4 (2004), No. 1, 237--247
Copyright Heldermann Verlag 2004
James K. Langley
jkl@maths.nott.ac.uk , School of Mathematical Sciences, University of Nottingham, NG7 2RD, U.K.
It is shown that if f is transcendental and meromorphic in the plane with finitely many critical and asymptotic values then δ (b, f') = 0 for every complex number b different from 0. If, in addition, f has finite lower order then the same result holds for higher derivatives.
Keywords: Meromorphic function, Nevanlinna deficiency, singularities, inverse function.
MSC 2000: 30D35.
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