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Computational Methods and Function Theory 7 (2007), No. 1, 277--291
Copyright Heldermann Verlag 2007

On the Frequency of Zeros of Certain Meromorphic Functions Associated with Subharmonic Potentials

Robert Trickey
pmxrvt@nottingham.ac.uk , University of Nottingham, School of Mathematical Sciences, Nottingham, NG7 2RD, U.K.

[Abstract-pdf] [Abstract-ps]

This paper is a continuation of the author's previous research into functions of the form f(z) = Σ ak/(z-zk). We present results regarding the frequency of zeros of these functions, and also obtain results concerning the zeros of a generalization of these functions, relating to Mittag-Leffler sums.

Keywords: Logarithmic potentials, zeros of meromorphic functions, Mittag-Leffler sums.

MSC 2000: 31A05, 30D30, 30D35.

[FullText-pdf (288 K)] [FullText-ps (482 K)]