Discrete spectra of certain co-recursive Pollaczek polynomials and its applications

DOI10.1007/BF03321863zbMath1061.33005OpenAlexW2010090148MaRDI QIDQ1880917

Alexander I. Aptekarev, D. N. Toulyakov, André Draux

Publication date: 27 September 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321863

zbMATH Keywords

zeros of polynomialsMarkov-Bernstein inequalitiesdiscrete spectrumLaguerre polynomialsMeixner polynomialsPollaczek polynomialsdiscrete string

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (4)

Coherent pairs of measures and Markov-Bernstein inequalities ⋮ Δ-Coherent pairs of linear functionals and Markov-Bernstein inequalities ⋮ On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces ⋮ Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• The attractive Coulomb potential polynomials
• On the positivity of some bilinear functionals in Sobolev spaces
• The genetic sums' representation for the moments of a system of Stieltjes functions and its application
• Improvement of the formal and numerical estimation of the constant in some Markov-Bernstein inequalities
• Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points
• On the Toda and KAC-VAN Moerbeke Systems
• On Co-Recursive Orthogonal Polynomials
• Bayesian problems of sequential discrimination between hypotheses for continuous random processes

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