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

On the Frequency of Zeros of Certain Meromorphic Functions Associated with Subharmonic Potentials This paper is a continuation of the author’s previous research into functions of the form \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$f(z) = \sum a_{k}/(z- z_{k})$\end{document}. 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

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

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Publisher
Springer Journals
Copyright
Copyright © Heldermann  Verlag 2007
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/bf03321645
Publisher site
See Article on Publisher Site

Abstract

This paper is a continuation of the author’s previous research into functions of the form \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$f(z) = \sum a_{k}/(z- z_{k})$\end{document}. 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.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Apr 1, 2007

Keywords: Logarithmic potentials; zeros of meromorphic functions; Mittag-Leffler sums; 31A05; 30D30; 30D35

References