期刊论文详细信息
Advances in Difference Equations | |
On the transcendence of some power series | |
Adem Klman1  Ayten Pekin2  Gl Karadeniz Gzeri2  | |
[1] Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, Serdang, Selangor, Malaysia;Department of Mathematics, Faculty of Science, Istanbul University, Istanbul, Turkey | |
关键词: power series; Liouville numbers; Mahlerâs classification; | |
DOI : 10.1186/1687-1847-2013-17 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
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. AMS Subject Classification:11J81, 11J17.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904020238763ZK.pdf | 225KB | download |