Differential inequalities of functions involving the lowest zero of some associated orthogonalq-polynomials

DOI10.1080/10652460412331320421zbMath1066.33010OpenAlexW2087639132MaRDI QIDQ4676361

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Publication date: 3 May 2005

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

Full work available at URL: https://doi.org/10.1080/10652460412331320421

zbMATH Keywords

zerosdifferential inequalitiesmonotonicity propertiesq-polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Other special orthogonal polynomials and functions (33C47) Inequalities in real analysis (26D99)

Related Items (2)

Applications of the monotonicity of extremal zeros of orthogonal polynomials in interlacing and optimization problems ⋮ On the complex zeros of some families of orthogonal polynomials

Cites Work

• Unnamed Item
• On the behaviour of zeros of Jacobi polynomials
• Monotonicity properties of the zeros of ultraspherical polynomials
• On the Hellmann-Feynman theorem and the variation of zeros of certain special functions
• Some monotonicity results on the zeros of the generalized Laguerre polynomials
• On a conjecture concerning monotonocity of zeros of ultraspherical polynomials
• Inequalities and Numerical Bounds for Zeros of Ultraspherical Polynomials
• A theorem concerning differentiability of eigenvectors and eigenvales with some applications
• Perron-frobenius-type theorems for tridiagonal operators
• The distribution of zeros of generalq-polynomials
• A Discrete Approach to Monotonicity of Zeros of Orthogonal Polynomials
• Forces in Molecules
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

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