An Application of Separate Convergence for Continued Fractions to Orthogonal Polynomials
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Published:1992-09-01
Issue:3
Volume:35
Page:381-389
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Jones William B.,Thron W. J.,Wyshinski Nancy J.
Abstract
AbstractIt is known that the n-th denominators Qn (α, β, z) of a real J-fractionwhereform 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 formulathe convergence being uniform on compact subsets of
Publisher
Canadian Mathematical Society
Subject
General Mathematics