- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:44
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
20
2004
1
Meromorphic functions of the form $f(z) = \sum_{n=1}^\infty a_n/(z - z_n)$
James
Langley
University of Nottingham, NOTTINGHAM, UNITED KINGDOM
John
Rossi
Virginia Tech and State University, BLACKSBURG, UNITED STATES
Meromorphic functions, zeros, critical points, logarithmic potentials, quasiconformal surgery
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.
Functions of a complex variable
General
285
314
10.4171/RMI/390
http://www.ems-ph.org/doi/10.4171/RMI/390