Characterizations of rational numbers by SEL series and alternating SEL series expansions
oleh: Narakorn Rompurk Kanasri, Patiwat Singthongla
| Format: | Article |
|---|---|
| Diterbitkan: | Prince of Songkla University 2018-08-01 |
Deskripsi
We establish characterizations of rational numbers by using SEL series expansions, which yield generalized versions of characterizing rational numbers by Sylvester series, Engel series and Lüroth series expansions. Characterizations of rational numbers via alternating SEL series expansions yield generalized versions of characterizing rational numbers by alternating Sylvester series, alternating Engel series and alternating Lüroth series expansions.