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,

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