On the transcendence of some power series

Gül Karadeniz Gözeri, Ayten Pekin, Adem Kılıçman
2013 Advances in Difference Equations  
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.
doi:10.1186/1687-1847-2013-17 fatcat:tlgg2jsuujbjlbvgscqg6zfrh4