Characterizations of rational numbers by SEL series and alternating SEL series expansions

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...

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Main Authors:	Narakorn Rompurk Kanasri, Patiwat Singthongla
Format:	Article
Language:	English
Published:	Prince of Songkla University 2018-08-01
Series:	Songklanakarin Journal of Science and Technology (SJST)
Subjects:	Sylvester and alternating Sylvester series Engel and alternating Engel series Lüroth and alternating Lüroth series SEL and alternating SEL series
Online Access:	https://rdo.psu.ac.th/sjstweb/journal/40-4/3.pdf

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spelling	doaj-b51abccbd2044a9085a438c1d0ad951b2020-11-24T21:04:00ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952018-08-0140474375110.14456/sjst-psu.2018.97Characterizations of rational numbers by SEL series and alternating SEL series expansionsNarakorn Rompurk Kanasri0Patiwat Singthongla1Department of Mathematics, Faculty of Science, Khon Kaen University, Mueang, Khon Kaen, 40002 ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Mueang, Khon Kaen, 40002 ThailandWe 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.https://rdo.psu.ac.th/sjstweb/journal/40-4/3.pdfSylvester and alternating Sylvester seriesEngel and alternating Engel seriesLüroth and alternating Lüroth seriesSEL and alternating SEL series
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Narakorn Rompurk Kanasri Patiwat Singthongla
spellingShingle	Narakorn Rompurk Kanasri Patiwat Singthongla Characterizations of rational numbers by SEL series and alternating SEL series expansions Songklanakarin Journal of Science and Technology (SJST) Sylvester and alternating Sylvester series Engel and alternating Engel series Lüroth and alternating Lüroth series SEL and alternating SEL series
author_facet	Narakorn Rompurk Kanasri Patiwat Singthongla
author_sort	Narakorn Rompurk Kanasri
title	Characterizations of rational numbers by SEL series and alternating SEL series expansions
title_short	Characterizations of rational numbers by SEL series and alternating SEL series expansions
title_full	Characterizations of rational numbers by SEL series and alternating SEL series expansions
title_fullStr	Characterizations of rational numbers by SEL series and alternating SEL series expansions
title_full_unstemmed	Characterizations of rational numbers by SEL series and alternating SEL series expansions
title_sort	characterizations of rational numbers by sel series and alternating sel series expansions
publisher	Prince of Songkla University
series	Songklanakarin Journal of Science and Technology (SJST)
issn	0125-3395
publishDate	2018-08-01
description	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.
topic	Sylvester and alternating Sylvester series Engel and alternating Engel series Lüroth and alternating Lüroth series SEL and alternating SEL series
url	https://rdo.psu.ac.th/sjstweb/journal/40-4/3.pdf
work_keys_str_mv	AT narakornrompurkkanasri characterizationsofrationalnumbersbyselseriesandalternatingselseriesexpansions AT patiwatsingthongla characterizationsofrationalnumbersbyselseriesandalternatingselseriesexpansions
_version_	1716772411017265152

Characterizations of rational numbers by SEL series and alternating SEL series expansions

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