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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Springer
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30137/ http://psasir.upm.edu.my/id/eprint/30137/1/On%20the%20transcendence%20of%20some%20power%20series.pdf |
| _version_ | 1848846592805699584 |
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| author | Gozeri, Gul Karadeniz Pekin, Ayten Kilicman, Adem |
| author_facet | Gozeri, Gul Karadeniz Pekin, Ayten Kilicman, Adem |
| author_sort | Gozeri, Gul Karadeniz |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:05:10Z |
| format | Article |
| id | upm-30137 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:10Z |
| publishDate | 2013 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Gozeri, Gul Karadeniz Pekin, Ayten Kilicman, Adem On the transcendence of some power series |
| title | 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_short | On the transcendence of some power series |
| title_sort | on the transcendence of some power series |
| url | http://psasir.upm.edu.my/id/eprint/30137/ http://psasir.upm.edu.my/id/eprint/30137/ http://psasir.upm.edu.my/id/eprint/30137/ http://psasir.upm.edu.my/id/eprint/30137/1/On%20the%20transcendence%20of%20some%20power%20series.pdf |