Asymptotic Expansions for Solutions of Smooth Recurrence Equations

DOI10.2307/2048078zbMath0712.39013OpenAlexW4256145666MaRDI QIDQ3196710

S. W. Jha, Attila Máté, Paul G. Nevai

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048078

zbMATH Keywords

asymptotic expansionsleading coefficientorthonormal polynomialsmooth recurrence equations

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) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Additive difference equations (39A10)

Cites Work

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• Estimates of the Hermite and the Freud polynomials
• Estimates of asymmetric Freud polynomials on the real line
• A proof of Freud's conjecture for exponential weights
• Asymptotic for solutions of systems of smooth recurrence equations
• Asymptotic Expansions of Ratios of Coefficients of Orthogonal Polynomials with Exponential Weights
• Asymptotics for Orthogonal Polynomials Associated with $\exp ( - x^4 )$
• Asymptotics for Solutions of Smooth Recurrence Equations
• Asymptotics for the Greatest Zeros of Orthogonal Polynomials
• Freud’s conjecture for exponential weights
• Asymptotics for the Zeros of Orthogonal Polynomials associated with Infinite Intervals

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