ThaiScience  


WALAILAK JOURNAL OF SCIENCE AND TECHNOLOGY


Volume 16, No. 09, Month SEPTEMBER, Year 2019, Pages 615 - 624


The continued fractions of certain exponentials

Pratchayaporn DOEMLIM, Vichian LAOHAKOSOL, Janyarak TONGSOMPORN


Abstract Download PDF

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.


Keywords

Hurwitz continued fraction,continued fraction expansion, exponential number,



WALAILAK JOURNAL OF SCIENCE AND TECHNOLOGY


Published by : Walailak University
Contributions welcome at : http://wjst.wu.ac.th/index.php/wjst