English

Meromorphic almost periodic functions

Complex Variables 2007-05-23 v1 Classical Analysis and ODEs

Abstract

We study meromorphic functions in a strip almost periodic with respect to the spherical metric. Then we get a complete description of zeros and poles for this class of functions, find a condition for a meromorphic almost periodic function to be a quotient of two holomorphic almost periodic function, find a necessary and suficient condition for sum and product of almost periodic meromorphic functions to be almost periodic.

Keywords

Cite

@article{arxiv.math/0701822,
  title  = {Meromorphic almost periodic functions},
  author = {S. Favorov and N. Parfyonova},
  journal= {arXiv preprint arXiv:math/0701822},
  year   = {2007}
}