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Characterizations of rational numbers by SEL seriesand alternating SEL series expansions |
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| รหัสดีโอไอ | |
| Creator | 1. Narakorn Rompurk Kanasri 2. Patiwat Singthongla |
| Title | Characterizations of rational numbers by SEL seriesand alternating SEL series expansions |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2561 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 40 |
| Journal No. | 4 |
| Page no. | 743 |
| Keyword | Sylvester and alternating Sylvester series, Engel and alternating Engel series, Lu?roth and alternating Lu?roth series, SEL and alternating SEL series |
| URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | We establish characterizations of rational numbers by using SEL series expansions, which yield generalized versions ofcharacterizing rational numbers by Sylvester series, Engel series and Lu?roth series expansions. Characterizations of rationalnumbers via alternating SEL series expansions yield generalized versions of characterizing rational numbers by alternatingSylvester series, alternating Engel series and alternating Lu?roth series expansions. |
