Document Type
Article
Date
4-9-2007
Disciplines
Mathematics
Description/Abstract
Suppose that h and g belong to the algebra B generated by the rational functions and an entire function f of finite order on Cn and that h/g has algebraic polar variety. We show that either h/g in B or f = q1ep +q2, where p is a polynomial and q1, q2 are rational functions. In the latter case, h/g belongs to the algebra generated by the rational functions, ep and e−p.
Recommended Citation
Coman, Dan and Poletsky, Evgeny A., "Stable Algebras of Entire Functions" (2007). Mathematics - All Scholarship. 19.
https://surface.syr.edu/mat/19
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more details see http://arxiv.org/abs/0704.0997