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Computational Methods and Function Theory 4 (2004), No. 1, 227--235
Copyright Heldermann Verlag 2004

On the Zeros of af(f(k))n-1 for n≥2

Abdullah Alotaibi
pmxaa@maths.nottingham.ac.uk , School of Mathematics, University of Nottingham, NG7 2RD, U.K.

[Abstract-pdf] [Abstract-ps]

Let f be a transcendental meromorphic function and n, k be two positive integers. Then af(f(k))n - 1, n ≥ 2, has infinitely many zeros, where a(z) is a nontrivial meromorphic function such that T(r,a) = S(r,f).

Keywords: Nevanlinna theory, meromorphic function.

MSC 2000: 30D35.

[FullText-pdf (304 K)] [FullText-ps (232 K)]