Pratchayaporn Doemlim, V. Laohakosol, Janyarak Tongsomporn
{"title":"The Continued Fractions of Certain Exponentials","authors":"Pratchayaporn Doemlim, V. Laohakosol, Janyarak Tongsomporn","doi":"10.14456/VOL16ISS9PPCORRECTED","DOIUrl":null,"url":null,"abstract":"In 1954, Perron constructed simple continued fractions of e1/k and e2/k where k is a positive integer. These are called Hurwitz continued fractions. Using the method given in Perron’s book, we determine explicit shapes of simple continued fractions of ke1/k; 1 k e1/k and 2e.","PeriodicalId":255195,"journal":{"name":"Walailak Journal of Science and Technology (WJST)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Walailak Journal of Science and Technology (WJST)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14456/VOL16ISS9PPCORRECTED","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In 1954, Perron constructed simple continued fractions of e1/k and e2/k where k is a positive integer. These are called Hurwitz continued fractions. Using the method given in Perron’s book, we determine explicit shapes of simple continued fractions of ke1/k; 1 k e1/k and 2e.
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