# MathSciDoc: An Archive for Mathematician ∫

#### TBDmathscidoc:1701.332957

Arkiv for Matematik, 39, (1), 151-155, 1999.8
We prove a second fundamental theorem in the sense of Nevanlinna's theory of meromorphic functions replacing the constants$a$in $$\bar N$$ ($r, f, a$) by rational functions$R$with$R(∞)=a$. The key argument is Ahlfors's second fundamental theorem from his theory of covering surfaces.
@inproceedings{andreas1999deficient,
title={Deficient rational functions and Ahlfors's theory of covering surfaces},
author={Andreas Sauer},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203601388307766},
booktitle={Arkiv for Matematik},
volume={39},
number={1},
pages={151-155},
year={1999},
}

Andreas Sauer. Deficient rational functions and Ahlfors's theory of covering surfaces. 1999. Vol. 39. In Arkiv for Matematik. pp.151-155. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203601388307766.