- Title
- An asymptotic approach in Mahler's method
- Creator
- Coons, Michael
- Relation
- ARC.DE140100223 http://purl.org/au-research/grants/arc/DE140100223
- Relation
- New Zealand Journal of Mathematics Vol. 47, Issue 2017, p. 27-42
- Relation
- http://nzjm.math.auckland.ac.nz/index.php/An_Asymptotic_Approach_in_Mahler%27s_Method
- Publisher
- University of Auckland
- Resource Type
- journal article
- Date
- 2017
- Description
- We provide a general result for the algebraic independence of Mahler functions by a new method based on asymptotic analysis. As a consequence of our method, these results hold not only over Cz, but also over Cz(M), where (M) is the set of meromorphic functions. Several examples and corollaries are given, with special attention to nonnegative regular functions.
- Subject
- algebraic independence; Mahler functions; radial asymptotics
- Identifier
- http://hdl.handle.net/1959.13/1352558
- Identifier
- uon:30913
- Identifier
- ISSN:1171-6096
- Rights
- © 2017 The Author(s).
- Language
- eng
- Full Text
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Publisher version (open access) | 2 MB | Adobe Acrobat PDF | View Details Download |