Zeros of differences of meromorphic functions
Complex Variables
2016-07-06 v1
Abstract
Let f be a function transcendental and meromorphic in the plane, and define g(z) by g(z) = f(z+1) - f(z). A number of results are proved concerning the existence of zeros of g(z) or g(z)/f(z), in terms of the growth and the poles of f.
Cite
@article{arxiv.math/0506441,
title = {Zeros of differences of meromorphic functions},
author = {Walter Bergweiler and J. K. Langley},
journal= {arXiv preprint arXiv:math/0506441},
year = {2016}
}