Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials

DOI10.1051/mmnp/20138103zbMath1262.33009OpenAlexW2102539987MaRDI QIDQ4911315

Kathy A. Driver, Kerstin Jordaan

Publication date: 14 March 2013

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/20138103

zbMATH Keywords

monotonicityconvexityinequalities for zerosinterlacing of zerosseparation of zerosbounds for extreme zeros of orthogonal and q-orthogonal polynomialscommon zeros of 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)

Related Items (6)

Interlacing properties and bounds for zeros of \({}_2\phi_1\) hypergeometric and little \(q\)-Jacobi polynomials ⋮ Kramer-type sampling theorems associated with higher-order differential equations ⋮ Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences ⋮ Asymptotic behaviours of \(q\)-orthogonal polynomials from a \(q\)-Riemann Hilbert problem ⋮ On the extreme zeros of Jacobi polynomials ⋮ New bounds for the extreme zeros of Jacobi polynomials

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