# Construction of a Universal Laurent Series

Construction of a Universal Laurent Series Let Ω be a finitely connected domain. We prove constructively the existence of a universal Laurent series, that is, a holomorphic function f on Ω having universal approximation properties connected with partial sums of Taylor and Laurent expansions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

# Construction of a Universal Laurent Series

, Volume 5 (2) – Mar 7, 2013
8 pages

/lp/springer-journals/construction-of-a-universal-laurent-series-vDHcWt0K9y
Publisher
Springer Journals
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321103
Publisher site
See Article on Publisher Site

### Abstract

Let Ω be a finitely connected domain. We prove constructively the existence of a universal Laurent series, that is, a holomorphic function f on Ω having universal approximation properties connected with partial sums of Taylor and Laurent expansions.

### Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 7, 2013

### References

Access the full text.