Open AccessThe Continued Fractions of Certain Exponentials
Author(s) -
Pratchayaporn Doemlim,
Vichian Laohakosol,
Janyarak Tongsomporn
Publication year - 2019
Publication title -
walailak journal of science and technology
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.