Inequalities for zeros of Jacobi polynomials via Obrechkoff’s theorem

DOI10.1090/S0025-5718-2011-02553-6zbMath1247.33013OpenAlexW2013569902MaRDI QIDQ5389442

Dimitar K. Dimitrov, Fernando Rodrigo Rafaeli, Eduardo Paciência Godoy, IvÁn Area

Publication date: 26 April 2012

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2011-02553-6

zbMATH Keywords

zerosLaguerre polynomialJacobi polynomialConnection formulaObrechkoff's theorem

Mathematics Subject Classification ID

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

Related Items (6)

On the extreme zeros of Jacobi polynomials ⋮ New bounds for the extreme zeros of Jacobi polynomials ⋮ Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials ⋮ Zeros of Orthogonal Polynomials ⋮ Zeros of classical orthogonal polynomials of a discrete variable ⋮ Bounds for extreme zeros of some classical orthogonal polynomials

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