A problem in potential theory and zero asymptotics of Krawtchouk polynomials

DOI10.1006/jath.1999.3366zbMath0951.33008OpenAlexW1993450438MaRDI QIDQ1969973

Peter D. Dragnev, Edward B. Saff

Publication date: 29 August 2000

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

Full work available at URL: https://semanticscholar.org/paper/75e9c7e8c96222e51b801388a0b541836be8f972

zbMATH Keywords

Krawtchouk polynomialsconstrained energy problem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items

Asymptotic expansion of the Krawtchouk polynomials and their zeros, Global asymptotics of Krawtchouk polynomials -- a Riemann-Hilbert approach, Constrained energy problems with applications to orthogonal polynomials of a discrete variable, On the zeros of Meixner polynomials, On large deviations for the spectral measure of discrete Coulomb gas, Energy bounds for codes and designs in Hamming spaces, Asymptotic analysis of the Krawtchouk polynomials by the WKB method, THE RIEMANN–HILBERT APPROACH TO GLOBAL ASYMPTOTICS OF DISCRETE ORTHOGONAL POLYNOMIALS WITH INFINITE NODES, Direct and inverse problems for vector logarithmic potentials with external fields, Constrained Leja points and the numerical solution of the constrained energy problem, Nonnegative quadratic forms and bounds on orthogonal polynomials, Zero distribution of orthogonal polynomials on a \(q\)-lattice, Mehler-Heine type formulas for the Krawtchouk polynomials, Zero distributions for discrete orthogonal polynomials, Strong asymptotics for Krawtchouk polynomials, The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients, Distributions of zeros of discrete and continuous polynomials from their recurrence relation, Bounds for the zeros of symmetric Kravchuk polynomials

Cites Work

• A problem of Totik on fast decreasing polynomials
• Constrained energy problems with applications to orthogonal polynomials of a discrete variable
• Extremal Problems for Polynomials with Exponential Weights
• Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable
• A continuum limit of the Toda lattice
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