Zeros of quasi-orthogonal ultraspherical polynomials

DOI10.1016/j.indag.2016.06.003zbMath1350.30008OpenAlexW2430280862MaRDI QIDQ307730

Martin E. Muldoon, Kathy A. Driver

Publication date: 5 September 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2016.06.003

zbMATH Keywords

zerosultraspherical polynomialsinterlacingquasi orthogonality

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Real polynomials: location of zeros (26C10) Polynomials and rational functions of one complex variable (30C10)

Related Items

Zeros of Jacobi polynomials \(P_{n}^{(\alpha ,\beta)} \), \(- 2 < \alpha\), \(\beta < -1\), Zeros of quasi-orthogonal ultraspherical polynomials, On quasi-orthogonal polynomials: their differential equations, discriminants and electrostatics, Quasi-orthogonality of some hypergeometric and \(q\)-hypergeometric polynomials, On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials, Quasi-orthogonality and zeros of some \({}_2 \phi_2\) and \({}_3 \phi_2\) polynomials, Orthogonal sequences constructed from quasi-orthogonal ultraspherical polynomials, Bounds for Extreme Zeros of Quasi-orthogonal Ultraspherical Polynomials, Zeros of quasi-orthogonal \(q\)-Laguerre polynomials, On the properties of zeros of Bessel series in the real line

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