On zeros of discrete orthogonal polynomials

DOI10.1016/j.jat.2008.04.015zbMath1167.33004OpenAlexW2069918448MaRDI QIDQ1008711

Ilia Krasikov, Alexander Zarkh

Publication date: 30 March 2009

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

Full work available at URL: http://bura.brunel.ac.uk/handle/2438/8577

zbMATH Keywords

zerosMeixner polynomialsKrawtchouk polynomialsCharlier polynomialsHahn polynomialsDiscrete orthogonal polynomials

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) Difference operators (39A70) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (4)

Interlacing properties and bounds for zeros of \({}_2\phi_1\) hypergeometric and little \(q\)-Jacobi polynomials ⋮ Zeros of classical orthogonal polynomials of a discrete variable ⋮ Inner bounds for the extreme zeros of ₃F₂ hypergeometric polynomials ⋮ Bounds for the zeros of symmetric Kravchuk polynomials

Cites Work

• Zeros of generalized Krawtchouk polynomials
• Bounds for zeros of the Charlier polynomials.
• Difference equations and discriminants for discrete orthogonal polynomials
• Turán inequalities and zeros of orthogonal polynomials
• On extreme zeros of classical orthogonal polynomials
• Asymptotics for the Zeros of Orthogonal Polynomials associated with Infinite Intervals
• DISCRETE ANALOGUES OF THE LAGUERRE INEQUALITY
• The Zeros of the Hahn Polynomials
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