On co-polynomials on the real line

DOI10.1016/J.JMAA.2015.02.063zbMath1331.33016OpenAlexW2035254226MaRDI QIDQ907741

Kenier Castillo, Jorge Andres Rivero, Francisco Marcellán

Publication date: 26 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.02.063

zbMATH Keywords

zerostransfer matricesorthogonal polynomials on the real lineco-polynomials on the real line

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)

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Orthogonal polynomials related to \(_{g}\)-fractions with missing terms ⋮ A general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kind ⋮ Spectral transformation associated with a perturbed \(R_I\) type recurrence relation ⋮ On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind ⋮ On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation ⋮ Monotonicity of zeros for a class of polynomials including hypergeometric polynomials ⋮ Orthogonality of the Dickson polynomials of the $(k+1)$-th kind ⋮ Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective ⋮ Orthogonal polynomials associated with complementary chain sequences ⋮ Chain sequences and zeros of polynomials related to a perturbed \(R_{II}\) type recurrence relation

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