Pratchayaporn Doemlim, V. Laohakosol, Janyarak Tongsomporn
{"title":"某些指数的连分式","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":"{\"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}","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}
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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