Open Access
Translator Disclaimer
March, 2004 Meromorphic functions of the form $f(z) = \sum_{n=1}^\infty a_n/(z - z_n)$
James K. Langley, John Rossi
Rev. Mat. Iberoamericana 20(1): 285-314 (March, 2004).

Abstract

We prove some results on the zeros of functions of the form $f(z) = \sum_{n=1}^\infty \frac{a_n}{z - z_n}$, with complex $a_n$, using quasiconformal surgery, Fourier series methods, and Baernstein's spread theorem. Our results have applications to fixpoints of entire functions.

Citation

Download Citation

James K. Langley. John Rossi. "Meromorphic functions of the form $f(z) = \sum_{n=1}^\infty a_n/(z - z_n)$." Rev. Mat. Iberoamericana 20 (1) 285 - 314, March, 2004.

Information

Published: March, 2004
First available in Project Euclid: 2 April 2004

zbMATH: 1061.30022
MathSciNet: MR2076782

Subjects:
Primary: 30D35

Keywords: critical points , logarithmic potentials , meromorphic functions , quasiconformal surgery , Zeros

Rights: Copyright © 2004 Departamento de Matemáticas, Universidad Autónoma de Madrid

JOURNAL ARTICLE
30 PAGES


SHARE
Vol.20 • No. 1 • March, 2004
Back to Top