Computational Methods and Function Theory 10 (2010), No. 1, 97--109
Copyright Heldermann Verlag 2010
Jürgen Grahl
grahl@mathematik.uni-wuerzburg.de , University of Würzburg, Department of Mathematics, Am Hubland, 97074 Würzburg, Germany.
We present a modification of the Nevanlinna theory which is inspired by previous work of H. Cartan and D. Drasin and which makes full use of Poisson-Jensen-Nevanlinna's Formula. We show that the results from the "classical" Nevanlinna theory remain valid for this modification. Furthermore, we give an estimate for the modified proximity function of the logarithmic derivatives of functions in a non-normal family which extends previous results by Drasin and W. Schwick.
Keywords: Nevanlinna theory, Cartan's characteristic, Theorem on the Logarithmic Derivative.
MSC 2000: 30D35, 30D45.
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