Convexity results for the largest zero and functions involving the largest zero ofq-associated polynomials

DOI10.1080/10652460410001727482zbMath1067.33011OpenAlexW2155130210MaRDI QIDQ4654690

Eugenia N. Petropoulou, Panayiotis D. Siafarikas, Ioannis D. Stabolas

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1080/10652460410001727482

zbMATH Keywords

convexity\(q\)-Lommel polynomials\(q\)-associated Laguerre polynomialsassociated Al-Salam-Carlitz II polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Other special orthogonal polynomials and functions (33C47)

Related Items (1)

On the complex zeros of some families of orthogonal polynomials

Cites Work

• Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials
• A theorem concerning differentiability of eigenvectors and eigenvales with some applications
• Perron-frobenius-type theorems for tridiagonal operators
• Convexity of the largest zero of the ultraspherical polynomials

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