A connection between ultraspherical and pseudo-ultraspherical polynomials

DOI10.1016/j.jmaa.2016.02.050zbMath1336.33030OpenAlexW2275798490MaRDI QIDQ266477

Martin E. Muldoon, Kathy A. Driver

Publication date: 13 April 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.2016.02.050

zbMATH Keywords

monotonicityzerosultraspherical polynomialspseudo-ultraspherical polynomials

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Spherical harmonics (33C55)

Related Items (1)

Zeros of quasi-orthogonal ultraspherical polynomials

Cites Work

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• Monotonicity properties of the zeros of ultraspherical polynomials
• Zeros of pseudo-ultraspherical polynomials
• Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\)
• Some recent results on the zeros of Bessel functions and orthogonal polynomials
• Zeros of ultraspherical polynomials and the Hilbert-Klein formulas

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