On Transcendental Regular Continued Fractions

KEKEÇ G.

MATHEMATICA SLOVACA, vol.73, no.6, pp.1399-1408, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 73 Issue: 6
  • Publication Date: 2023
  • Doi Number: 10.1515/ms-2023-0101
  • Journal Name: MATHEMATICA SLOVACA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1399-1408
  • Istanbul University Affiliated: Yes

Abstract

We establish explicit constructions of real transcendental numbers that are not U-numbers with respect to Mahler's classification by using regular continued fraction expansions of irrational real algebraic numbers.