On the transcendence of some power series

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.

Bibliographic Details
Main Authors: Gozeri, Gul Karadeniz, Pekin, Ayten, Kilicman, Adem
Format: Article
Language:English
English
Published: Springer 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30137/1/On%20the%20transcendence%20of%20some%20power%20series.pdf