Properties of zeros of orthogonal polynomials and related functions

DOI10.1016/0377-0427(93)90321-2zbMath0796.33005OpenAlexW2087684360MaRDI QIDQ1318449

Martin E. Muldoon

Publication date: 27 March 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90321-2

zbMATH Keywords

monotonicityzerosGegenbauer polynomialsrecurrence relationsBessel functionsHermite functionsHellmann-Feynman theoremMeixner polynomialsPollaczek polynomialsultraspherical polynomialsAl-Salam-Carlitz polynomialsassociated Laguerre polynomialsSchläfli formulas

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Real polynomials: location of zeros (26C10)

Related Items

Stieltjes sums for zeros of orthogonal polynomials, Sharp bounds for the extreme zeros of classical orthogonal polynomials, Applications of the monotonicity of extremal zeros of orthogonal polynomials in interlacing and optimization problems, Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials, Zeros of Orthogonal Polynomials, Monotonicity of zeros of polynomials orthogonal with respect to an even weight function, Connection coefficients and zeros of orthogonal polynomials, On zeros of paraorthogonal polynomials, Analogs of the Hellmann-Feynman theorem in the \(R\)-matrix theory, Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle

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