Raney, George N. On continued fractions and finite automata. (English) Zbl 0251.10024 Math. Ann. 206, 265-283 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 37 Documents MSC: 11J70 Continued fractions and generalizations 11C20 Matrices, determinants in number theory 68Q45 Formal languages and automata 15B36 Matrices of integers PDFBibTeX XMLCite \textit{G. N. Raney}, Math. Ann. 206, 265--283 (1973; Zbl 0251.10024) Full Text: DOI EuDML References: [1] Detlovs, V. K.: Equivalence of normal algorithms and recursive functions. (Russian). Trudy Mat. Inst. Steklov.52, 75–139 (1958) [2] Hall, M.: On the sum and product of continued fractions. Ann. of Math.48, 966–993 (1947) · Zbl 0030.02201 [3] Hurwitz, A.: Über die Kettenbruch-Entwicklung der Zahl e. Phys.-ökon. Ges., Königsberg (1891). Mathematische Werke, Bd. 2, 129–133, Basel: Birkhäuser 1933 [4] Hurwitz, A.: Über die angenäherte Darstellungen der Zahlen durch rationale Brüche. Math. Ann.44, 417–436 (1894) · JFM 25.0322.04 [5] Raney, G. N.: Generalization of the Fibonacci sequence ton dimensions. Canad. J. Math.18, 332–349 (1966) · Zbl 0151.02406 [6] Salomaa, A.: Theory of Automata. (International Series of Monographs in Pure and Applied Mathematics, vol. 100.) Oxford: Pergamon Press, 1969 [7] Sanov, I. N.: A property of a representation of a free group. (Russian). Doklady Akad. Nauk SSSR57, 657–659 (1947) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.