An Application of Separate Convergence for Continued Fractions to Orthogonal Polynomials
Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 381-389

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

It is known that the n-th denominators Qn (α, β, z) of a real J-fraction where form an orthogonal polynomial sequence (OPS) with respect to a distribution function ψ(t) on R. We use separate convergence results for continued fractions to prove the asymptotic formula the convergence being uniform on compact subsets of
DOI : 10.4153/CMB-1992-051-0
Mots-clés : 30B70, 33A65, 34E05
Jones, William B. An Application of Separate Convergence for Continued Fractions to Orthogonal Polynomials. Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 381-389. doi: 10.4153/CMB-1992-051-0
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