A characterization of rational functions

2017/12/06 by Li, Bao Qin
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.04326

Abstract

We give an elementary characterization of rational functions among meromorphic functions in the complex plane.

Related

• Rationality of meromorphic functions between real algebraic sets in the plane
• Rational decompositions of complex meromorphic functions
• On fields of meromorphic functions on neighborhoods of rational curves
• Around rational functions invertible in radicals
• Linear differential polynomials in zero-free meromorphic functions