The Continued Fractions of Certain Exponentials | Zendy

Pratchayaporn Doemlim | Zendy; Vichian Laohakosol | Zendy; Janyarak Tongsomporn | Zendy

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The Continued Fractions of Certain Exponentials

Author(s) -

Pratchayaporn Doemlim,

Vichian Laohakosol,

Janyarak Tongsomporn

Publication year - 2019

Publication title -

walailak journal of science and technology (wjst)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.146

H-Index - 15

eISSN - 2228-835X

pISSN - 1686-3933

DOI - 10.48048/wjst.2019.6956

Subject(s) - simple (philosophy) , mathematics , integer (computer science) , exponential function , combinatorics , discrete mathematics , arithmetic , calculus (dental) , mathematical analysis , computer science , philosophy , epistemology , programming language , medicine , dentistry

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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