Continued fractions and solutions of the Feigenbaum-Cvitanović equation;Fractions continues et des solutions de l'équation de Feigenbaum-Cvitanoví

Comptes Rendus Mathematique

Volumn 334, Issue 8, 2002, Pages 683-688

  Tsygvintsev, Alexei V ^a   Mestel, Ben D ^b   Osbaldestin, Andrew H ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038053894     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02330-0     Document Type: Article

References (5)

1. W.F. Donoghue, Monotone Matrix Functions and Analytic Continuation, Grundlehren Math. Wiss., Vol. 207, Springer-Verlag, New York, 1974.
2. H. Epstein, New proofs of the existence of the Feigenbaum functions, Comm. Math. Phys. 106 (3) (1986) 395-426.
3. H. Epstein, Fixed points of composition operators, in: Procceedings of a NATO Advanced Study Institute on Nonlilenar Evolution, Italy, 1987, pp. 71-100.
4. H. Epstein, J. Lascoux, Analyticity properties of the Feigenbaum function, Comm. Math. Phys. 81 (1981) 437-453.
5. H.S. Wall, Analytic Theory of Continued Fractions, Van Nostrand, New York, NY, 1948.