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

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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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     author = {Jones, William B.},
     title = {An {Application} of {Separate} {Convergence} for {Continued} {Fractions} to {Orthogonal} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {381--389},
     year = {1992},
     volume = {35},
     number = {3},
     doi = {10.4153/CMB-1992-051-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-051-0/}
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