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.
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2013
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my.upm.eprints.301372015-10-28T06:41:16Z http://psasir.upm.edu.my/id/eprint/30137/ On the transcendence of some power series Gozeri, Gul Karadeniz Pekin, Ayten Kilicman, Adem 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. Springer 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30137/1/On%20the%20transcendence%20of%20some%20power%20series.pdf Gozeri, Gul Karadeniz and Pekin, Ayten and Kilicman, Adem (2013) On the transcendence of some power series. Advances in Difference Equations, 2013. art. no. 17. pp. 1-8. ISSN 1687-1839; ESSN: 1687-1847 http://www.advancesindifferenceequations.com/content/2013/January/2013 10.1186/1687-1847-2013-17 English |
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| language |
English English |
| description |
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. |
| format |
Article |
| author |
Gozeri, Gul Karadeniz Pekin, Ayten Kilicman, Adem |
| spellingShingle |
Gozeri, Gul Karadeniz Pekin, Ayten Kilicman, Adem On the transcendence of some power series |
| author_facet |
Gozeri, Gul Karadeniz Pekin, Ayten Kilicman, Adem |
| author_sort |
Gozeri, Gul Karadeniz |
| title |
On the transcendence of some power series |
| title_short |
On the transcendence of some power series |
| title_full |
On the transcendence of some power series |
| title_fullStr |
On the transcendence of some power series |
| title_full_unstemmed |
On the transcendence of some power series |
| title_sort |
on the transcendence of some power series |
| publisher |
Springer |
| publishDate |
2013 |
| url |
http://psasir.upm.edu.my/id/eprint/30137/1/On%20the%20transcendence%20of%20some%20power%20series.pdf http://psasir.upm.edu.my/id/eprint/30137/ http://www.advancesindifferenceequations.com/content/2013/January/2013 |
| _version_ |
1643829968623370240 |
| score |
13.250246 |