Generalized continued fraction expansions for pi and e
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, cilt.24, sa.6, ss.1809-1819, 2021 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 6
- Basım Tarihi: 2021
- Doi Numarası: 10.1080/09720529.2021.1936897
- Dergi Adı: JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.1809-1819
- Anahtar Kelimeler: Generalized continued fraction, pi, Euler number e, Ramanujan machine
- Süleyman Demirel Üniversitesi Adresli: Hayır
Özet
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.