Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials

DOI10.1016/j.apnum.2009.12.004zbMath1191.33003OpenAlexW2022334967MaRDI QIDQ969317

Mirela V. Mello, Dimitar K. Dimitrov, Fernando Rodrigo Rafaeli

Publication date: 6 May 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.12.004

zbMATH Keywords

monotonicityzerosasymptoticJacobi orthogonal polynomialsJacobi-Sobolev type orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (16)

Radii of starlikeness and convexity of some \(q\)-Bessel functions ⋮ Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials ⋮ Perturbations on the antidiagonals of Hankel matrices ⋮ Zeros of orthogonal polynomials generated by canonical perturbations of measures ⋮ \(L\)-orthogonal polynomials associated with related measures ⋮ Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case ⋮ Zeros of Orthogonal Polynomials ⋮ On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight ⋮ Sobolev orthogonal polynomials of several variables on product domains ⋮ Analytic properties of some basic hypergeometric-Sobolev-type orthogonal polynomials ⋮ Monotonicity of zeros of polynomials orthogonal with respect to an even weight function ⋮ Radii of starlikeness of some special functions ⋮ On Freud-Sobolev type orthogonal polynomials ⋮ Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives ⋮ New analytic properties of nonstandard Sobolev-type Charlier orthogonal polynomials ⋮ Szegő and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations

Cites Work

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• On the behaviour of zeros of Jacobi polynomials
• Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
• Jacobi-Sobolev-type orthogonal polynomials: Second-order differential equation and zeros
• Variations on a theme of Heine and Stieltjes: An electrostatic interpretation of the zeros of certain polynomials
• Chain sequences and symmetric generalized orthogonal polynomials
• Monotonicity of zeros of Jacobi polynomials
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• Estimates for jacobi—sobolev type orthogonal polynomials
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• A Generalization of Laguerre Polynomials

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