Interlacing of zeros of Gegenbauer polynomials of non-consecutive degree from different sequences

DOI10.1007/s00211-011-0407-yzbMath1236.42022OpenAlexW2094090127MaRDI QIDQ663265

Kathy A. Driver

Publication date: 14 February 2012

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-011-0407-y

zbMATH Keywords

Gegenbauer polynomialsStieltjes interlacing

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (7)

Zeros of quasi-orthogonal ultraspherical polynomials ⋮ Zeros of pseudo-ultraspherical polynomials ⋮ Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences ⋮ Bounds for Extreme Zeros of Quasi-orthogonal Ultraspherical Polynomials ⋮ Multiple monotonicity of discrete distributions: the case of the Poisson model ⋮ Bounds for zeros of Meixner and Kravchuk polynomials ⋮ Bounds for extreme zeros of some classical orthogonal polynomials

Cites Work

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• The theorems of Stieltjes and Favard
• Interlacing of the zeros of contiguous hypergeometric functions
• Common zeros of two polynomials in an orthogonal sequence
• Finite sequences of orthogonal polynomials connected by a Jacobi matrix
• A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials
• Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials

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