Asymptotic properties of a family of orthogonal polynomial sequences

It is known that the nth denominators Q n ( a, z) of a real J-fraction of the form ▪ ▪ form an orthogonal polynomial sequence (OPS) with respect to some distribution function ψ( t) on R . In this paper we prove the asymptotic formula ▪ where the convergence is uniform on compact subsets of 0 < ⨍z...

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Veröffentlicht in:	Journal of computational and applied mathematics 1990-11, Vol.32 (1), p.143-151
Hauptverfasser:	Jones, William B., Magnus, Arne, McCabe, John H., Wyshinski, Nancy J.
Format:	Artikel
Sprache:	eng
Schlagworte:	asymptotics continued fractions Orthogonal polynomials
Online-Zugang:	Volltext
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