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

DOI

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
@article{10_4153_CMB_1985_050_5,
     author = {Masson, D.},
     title = {Convergence and {Analytic} {Continuation} for a {Class} of {Regular} {C-Fractions}},
     journal = {Canadian mathematical bulletin},
     pages = {411--421},
     year = {1985},
     volume = {28},
     number = {4},
     doi = {10.4153/CMB-1985-050-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-050-5/}
}
TY  - JOUR
AU  - Masson, D.
TI  - Convergence and Analytic Continuation for a Class of Regular C-Fractions
JO  - Canadian mathematical bulletin
PY  - 1985
SP  - 411
EP  - 421
VL  - 28
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-050-5/
DO  - 10.4153/CMB-1985-050-5
ID  - 10_4153_CMB_1985_050_5
ER  - 
%0 Journal Article
%A Masson, D.
%T Convergence and Analytic Continuation for a Class of Regular C-Fractions
%J Canadian mathematical bulletin
%D 1985
%P 411-421
%V 28
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-050-5/
%R 10.4153/CMB-1985-050-5
%F 10_4153_CMB_1985_050_5

Cité par Sources :