On the transcendence of some power series

Advances in Difference Equations

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;    Mahler’s 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