On the behaviour of zeros of Jacobi polynomials

DOI10.1006/jath.2002.3671zbMath1006.33003OpenAlexW2005317564MaRDI QIDQ696889

Dimitar K. Dimitrov, Romildo O. Rodrigues

Publication date: 12 September 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/21732

zbMATH Keywords

Gegenbauer polynomialJacobi polynomial

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (19)

Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials ⋮ Some monotonicity results on the zeros of the generalized Laguerre polynomials ⋮ Zeros of Gegenbauer and Hermite polynomials and connection coefficients ⋮ Zeros of pseudo-ultraspherical polynomials ⋮ Applications of the monotonicity of extremal zeros of orthogonal polynomials in interlacing and optimization problems ⋮ Monotonicity of zeros of Jacobi-Angelesco polynomials ⋮ Zeros of Orthogonal Polynomials ⋮ Monotonicity of zeros of Jacobi polynomials ⋮ Mixed recurrence relations and interlacing of the zeros of some \(q\)-orthogonal polynomials from different sequences ⋮ A new property of a class of Koornwinder Laguerre polynomials ⋮ Monotonicity of zeros of polynomials orthogonal with respect to an even weight function ⋮ Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials ⋮ Differential inequalities of functions involving the lowest zero of some associated orthogonalq-polynomials ⋮ Interlacing of zeros of orthogonal polynomials under modification of the measure ⋮ Interlacing of the zeros of Jacobi polynomials with different parameters ⋮ Interlacing Property of Zeros of Shifted Jacobi Polynomials ⋮ Monotonicity of zeros of Laguerre polynomials ⋮ Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and \(L_q\)-minimal polynomials, \(q\in [1,\infty \)] ⋮ A general stability theorem with applications

Cites Work

• The variation of zeros of certain orthogonal polynomials
• Monotonicity properties of the zeros of ultraspherical polynomials
• On a conjecture concerning monotonocity of zeros of ultraspherical polynomials
• Inequalities and Numerical Bounds for Zeros of Ultraspherical Polynomials
• A Monotonic Property for the Zeros of Ultraspherical Polynomials
• On the Derivative with Respect to a Parameter of a Zero of a Sturm–Liouville Function
• A Discrete Approach to Monotonicity of Zeros of Orthogonal Polynomials
• Connection coefficients and zeros of orthogonal polynomials
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