Convexity of the largest zero of the ultraspherical polynomials

DOI10.1080/10652469608819114zbMath0862.33007OpenAlexW1602201071MaRDI QIDQ4716320

Panayiotis D. Siafarikas, Chrysoula G. Kokologiannaki

Publication date: 19 December 1996

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469608819114

zbMATH Keywords

ultraspheric polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spherical harmonics (33C55)

Related Items (4)

Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials ⋮ Zeros of pseudo-ultraspherical polynomials ⋮ On the complex zeros of some families of orthogonal polynomials ⋮ Convexity results for the largest zero and functions involving the largest zero ofq-associated polynomials

Cites Work

• A theorem concerning differentiability of eigenvectors and eigenvales with some applications
• Perron-frobenius-type theorems for tridiagonal operators

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