Asymptotic behavior of polynomials satisfying three-term recurrence relations

DOI10.1016/0021-9045(92)90132-8zbMath0767.40002OpenAlexW2093462368MaRDI QIDQ1198946

William B. Jones, W. J. Thron, Nancy J. Wyshinski

Publication date: 16 January 1993

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90132-8

zbMATH Keywords

recurrence relationasymptotic behaviourcontinued fractions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Cites Work

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• Order and type of entire functions arising from separately convergent continued fractions
• Two-point Padé expansions for a family of analytic functions
• General T-fraction expansions for ratios of hypergeometric functions
• Truncation error bounds for modified continued fractions with applications to special functions
• Convergence questions for limit periodic continued fractions
• Asymptotics for orthogonal polynomials
• Discrete and continuous boundary problems
• An Application of Separate Convergence for Continued Fractions to Orthogonal Polynomials
• Scattering Theory and Polynomials Orthogonal on the Real Line
• A Strong Stieltjes Moment Problem
• Separate Convergence of General T-Fractions

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