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. AMS Subject Classification:...

Full description

Saved in:
Bibliographic Details
Published inAdvances in difference equations Vol. 2013; no. 1; pp. 1 - 8
Main Authors Karadeniz Gözeri, Gül, Pekin, Ayten, Kılıçman, Adem
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2013
Springer Nature B.V
Subjects
Analysis
Classification
Difference and Functional Equations
Difference equations
Functional Analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Power series
Mahler’s classification
power series
Liouville numbers
Online AccessGet full text
ISSN1687-1847
1687-1839
1687-1847
DOI10.1186/1687-1847-2013-17

Cover

More Information
Summary: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.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2013-17