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On Bounded Universal Functions

On Bounded Universal Functions We investigate boundedness properties of functions that are universal with respect to translations and “multiplicative translations”. It is well known that there exist entire functions which are universal in the sense of Birkhoff and are bounded on every line. We prove a negative result for multiplicative universal functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

On Bounded Universal Functions

Computational Methods and Function Theory , Volume 12 (1) – Jan 21, 2012

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321823
Publisher site
See Article on Publisher Site

Abstract

We investigate boundedness properties of functions that are universal with respect to translations and “multiplicative translations”. It is well known that there exist entire functions which are universal in the sense of Birkhoff and are bounded on every line. We prove a negative result for multiplicative universal functions.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jan 21, 2012

References