Strong asymptotics for Jacobi polynomials with varying nonstandard parameters

DOI10.1007/BF02789047zbMath1126.33003arXivmath/0309443OpenAlexW2065270877MaRDI QIDQ2565882

Andrei Martínez-Finkelshtein, Arno B. J. Kuijlaars

Publication date: 28 September 2005

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309443

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Quasiconformal mappings in the complex plane (30C62) Riemann surfaces (30F99)

Related Items

Padé approximants for functions with branch points -- strong asymptotics of Nuttall-Stahl polynomials, On the asymptotic behavior of Jacobi polynomials with first varying parameter, Asymptotic distribution of zeros of a certain class of hypergeometric polynomials, On the existence of short trajectories of quadratic differentials related to generalized Jacobi polynomials with non-real varying parameters, Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials, Trajectories of quadratic differentials for Jacobi polynomials with complex parameters, Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials, ON THE EXISTENCE OF FINITE CRITICAL TRAJECTORIES IN A FAMILY OF QUADRATIC DIFFERENTIALS, Image analysis by modified Legendre moments, Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials, Conditional logistic regression in cluster-specific1:mmatched treatment–control designs, Global Asymptotics for Meixner-Pollaczek Polynomials with a Varying Parameter, On approximation of ultraspherical polynomials in the oscillatory region, On a class of equilibrium problems in the real axis, Orthogonality and asymptotics of pseudo-Jacobi polynomials for non-classical parameters, Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature, The asymptotic zero distribution of Lommel polynomials as functions of their order with a variable complex argument, High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions, Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials, The Szegő curve and Laguerre polynomials with large negative parameters, ASYMPTOTIC EXPANSIONS FOR RIEMANN–HILBERT PROBLEMS, On the zeros of Meixner polynomials, Asymptotic root distribution of Charlier polynomials with large negative parameter, Asymptotic distributions of the zeros of certain classes of Gauss hypergeometric polynomials, Method of interior variations and existence of \(S\)-compact sets, Image reconstruction from continuous Gaussian-Hermite moments implemented by discrete algorithm, An asymptotic expansion for a class of biorthogonal polynomials with respect to a measure on the unit circle, Do orthogonal polynomials dream of symmetric curves?, Iterated integrals of Jacobi polynomials, On external fields created by fixed charges, Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights, Fine structure in the large \(n\) limit of the non-Hermitian Penner matrix model, Riemann--Hilbert analysis for Jacobi polynomials orthogonal on a single contour, The two-periodic Aztec diamond and matrix valued orthogonal polynomials, The distribution of zeros of a class of Jacobi polynomials, Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions, Global asymptotic expansions of the Laguerre polynomials -- a Riemann-Hilbert approach, Triangular Schlesinger systems and superelliptic curves, A periodic hexagon tiling model and non-Hermitian orthogonal polynomials, Asymptotic distributions of the zeros of a family of hypergeometric polynomials, Uniform asymptotics for orthogonal polynomials via the Riemann--Hilbert approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic zero behavior of Laguerre polynomials with negative parameter
• Orthogonal polynomials with complex-valued weight function. I
• The isomonodromy approach to matrix models in 2D quantum gravity
• Strong asymptotics for Jacobi polynomials with varying weights
• The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
• Asymptotic zero distribution of hypergeometric polynomials
• Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter.
• Zeros of hypergeometric functions
• Optimal tail estimates for directed last passage site percolation with geometric random variables
• Large parameter cases of the Gauss hypergeometric function
• Some new asymptotic properties for the zeros of Jacobi, Laguerre, and Hermite polynomials
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach
• Orthogonality of Jacobi polynomials with general parameters
• ZEROS OF JACOBI POLYNOMIALS WITH VARYING NON-CLASSICAL PARAMETERS
• On the Zeros of Jacobi Polynomials P ( | alpha n , | beta n ) n (X)
• On Asymptotics of Jacobi Polynomials
• EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
• Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154)
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• Sharp constants for rational approximations of analytic functions
• Trajectories of the zeros of hypergeometric polynomials \(F(-n, b; 2b; z)\) for \(b< -\frac{1}{2}\)
• Zeros of hypergeometric polynomials \(F(-n,b;-2n;z)\)
• Asymptotic properties of zeros of hypergeometric polynomials