Generalized continued fraction expansions for π and e
Kadyrov S. Mashurov F.
2021Taylor and Francis Ltd.
Journal of Discrete Mathematical Sciences and Cryptography
2021#24Issue 61809 - 1819 pp.
Recently Raayoni et al. announced various conjectures on continued fractions of fundamental constants automatically generated with machine learning techniques. In this paper, we prove some of their stated conjectures for Euler number e and show the equivalence of some of the listed conjectures. Moreover, we propose a simple method that can be used to generate other continued fractions using their series representations.
11Y65 , 30B70 , Euler number e , Generalized continued fraction , Ramanujan machine , π
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Department of Mathematics and Natural Sciences, Suleyman Demirel University, Kaskelen, 040900, Kazakhstan
Department of Mathematics and Natural Sciences, Suleyman Demirel University, Kaskelen, 040900, Kazakhstan
Kazakh-British Technical University, Almaty, Kazakhstan
Department of Mathematics and Natural Sciences
Department of Mathematics and Natural Sciences
Kazakh-British Technical University
10 лет помогаем публиковать статьи Международный издатель
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