Zeros of polynomials orthogonal with respect to a signed weight

DOI10.1016/j.indag.2011.09.011zbMath1236.42020OpenAlexW1996461971MaRDI QIDQ663561

Atia, Mohamed Jalel, Roberto S. Costas-Santos, Majed Benabdallah

Publication date: 25 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.indag.2011.09.011

zbMATH Keywords

zerosgeneralized Jacobi polynomialsgeneralized Gegenbauer polynomialsreal-rooted 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) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Uses Software

• CIZJP

Cites Work

• On conjectured inequalities for zeros of Jacobi polynomials
• On a conjectured inequality for the largest zero of Jacobi polynomials
• The special functions and their approximations. Vol. I, II
• Explicit representations of some orthogonal polynomials
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