Geodesic
Convergence and Analytic Continuation for a Class of Regular C-Fractions
Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 411-421

Voir la notice de l'article provenant de la source Cambridge University Press

Regular C-fractions f(α) = 1 + a 1α/1 + a 2α/1 + . .. with an = an 2 + bn + c + Vn , |Vn | sufficiently small are examined. In the case Vn = 0, exact expressions are obtained which reveal a two sheeted Riemann structure for f(α). If Vn ≠ 0 analytic properties are obtained by means of perturbation theory applied to the associated difference equation. A conjecture that f(α) is the ratio of two entire functions of for an even larger class of C-fractions is proved for the case .
DOI : 10.4153/CMB-1985-050-5
Mots-clés : 30B70, 39A10, 40A15, 33A30 
Masson, D. Convergence and Analytic Continuation for a Class of Regular C-Fractions. Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 411-421. doi: 10.4153/CMB-1985-050-5
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