scientific article

zbMath0628.33009MaRDI QIDQ3764454

Paul G. Nevai

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

generating functionsLiouville-Steklov method

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) Difference equations (39A99)

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Exact bounds for orthogonal polynomials associated with exponential weights ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Gaussian quadrature, weights on the whole real line and even entire functions with nonnegative even order derivatives ⋮ On Freud's equations for exponential weights ⋮ Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials ⋮ Properties of generalized Freud polynomials ⋮ The one-quarter class of orthogonal polynomials ⋮ A generalized sextic Freud weight ⋮ Plancherel-Rotach-type asymptotics for orthogonal polynomials associated with \(\exp (-x^ 6/6)\) ⋮ Orthogonal Polynomials, Measures and Recurrences on the Unit Circle ⋮ A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions

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