Citation
Gozeri, Gul Karadeniz and Pekin, Ayten and Kilicman, Adem
(2013)
On the transcendence of some power series.
Advances in Difference Equations, 2013.
art. no. 17.
pp. 1-8.
ISSN 1687-1839; ESSN: 1687-1847
Abstract
In this study, we consider some power series with rational coefficients and investigate transcendence of the values of these series for Liouville number arguments. It is proved that these values are either a Liouville number or a rational number under certain conditions.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1186/1687-1847-2013-17 |
| Publisher: | Springer |
| Keywords: | Liouville numbers; Mahler's classification; Power series. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 02 Jul 2014 03:12 |
| Last Modified: | 28 Oct 2015 06:41 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1687-1847-2013-17 |
| URI: | http://psasir.upm.edu.my/id/eprint/30137 |
| Statistic Details: | View Download Statistic |
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