Normal families of integer translations

Let f be a meromorphic function in the complex plane C. We consider the normality of the family of integer translations of f, $\{ f(z + n):n = 0,\pm 1,\pm2,\...\}$. If the family is normal on a set G in C, then the set G is open and periodic with period 1, i.e., $z\pm 1\in G$ for all $z\in G$.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Kim, Jeong-Heon

Contributors dc:contributor

• Rubel, Lee A.

• Mathematics

Statement dc:rights

• Copyright 1994 Kim, Jeong-Heon

Language dc:language

eng

Identifier

AAI9503234
(UMI)AAI9503234

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22458