Geodesic
A Characterization and a Class of Distribution Functions for the Stieltjes-Wigert Polynomials
Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 529-532

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

In his classic memoir on the moment problem that bears his name, Stieltjes [2] exhibited 1 as an example of an indeterminate (Stieltjes) moment sequence.Stieltjes also obtained the corresponding S-fraction and thus implicitly obtained the three-term recurrence formula satisfied by the corresponding orthogonal polynomials. 
Chihara, T. S. A Characterization and a Class of Distribution Functions for the Stieltjes-Wigert Polynomials. Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 529-532. doi: 10.4153/CMB-1970-098-7
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[1] 1. Riesz, M., Sur les problèmes des moments et le théorème de Parseval correspondant, Acta Sci. Math. (Szeged) 1 (1922-23), 209-225. Google Scholar

[2] 2. Stieltjes, T. J., Recherches sur les fractions continues, Oeuvres, Tome II, Noordhoff, Groningen, 1918. 402-566. Google Scholar

[3] 3. Szegö, G. Orthogonal Polynomials, Colloq. Publ., Vol. 23, Amer. Math. Soc., New York, 1939. Google Scholar

[4] 4. Wigert, S., Sur les polynomes orthogonaux et l'approximation des fonctions continues. Ark. Mat. Astr. Fys. (18) 17 (1923), 15 pp. Google Scholar

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