GENERALIZED CONTINUED FRACTION EXPANSION FOR EULER CONSTANT
Loading...
Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
СДУ хабаршысы - 2021
Abstract
Abstract. The theory of continued fractions is one of the oldest fields of number theory going back as far as Euclid 300 BCE. As opposed to generalized continued fractions, the theory of simple continued fractions is well-developed and finds many applications in various fields. In this article we consider a problem of elegant representations of famous mathematical constants with generalized continued fraction and prove that the Euler constant e satisfies the generalized continued fraction formula This is one of the conjectures generated in www.RamanujanMachine.com using machine learning techniques. Our method of proof uses only elementary techniques.
Description
Keywords
Generalized Continued Fraction, Euler number e, Ramanujan Machine, Number theory, СДУ хабаршысы - 2021, №1
Citation
G. Turgynbai / GENERALIZED CONTINUED FRACTION EXPANSION FOR EULER CONSTANT / СДУ хабаршысы - 2021