Efficient quotient representation of meromorphic functions

Representations of meromorphic functions as quotients of analytic functions have been studied for years. Miles showed that any meromorphic function f can be written as f$\sb1$/f$\sb2$ where each f$\sb{\rm j}$ is entire and T(r,f$\sb{\rm j}$) $\leq$ AT(Br,f). This result is trivial if the pole set Z is finite. For an infinite pole set Z of f, he established the existence of entire f$\sb{\rm j}$ such that T(r,f$\sb{\rm j}$) $\leq$ A$\sp\prime$N(B$\sp\prime$r,Z).

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

• Hopkins, Kevin Walter

Contributors dc:contributor

• Kaufman, Robert

• Mathematics

Statement dc:rights

• Copyright 1989 Hopkins, Kevin Walter

Language dc:language

eng

Identifier

AAI8924841
(UMI)AAI8924841

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21400