Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives

DOI10.1090/S0002-9939-2011-10806-2zbMath1242.42021OpenAlexW1968739149MaRDI QIDQ3103268

Francisco Marcellán, Fernando Rodrigo Rafaeli

Publication date: 7 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10806-2

zbMATH Keywords

monotonicityasymptoticszerosinterlacingLaguerre-Sobolev-type orthogonal polynomialsLaguerre orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (10)

On asymptotic properties of Laguerre-Sobolev type orthogonal polynomials ⋮ Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials ⋮ Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials ⋮ Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case ⋮ Zeros of Orthogonal Polynomials ⋮ Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle ⋮ Monotonicity of zeros of polynomials orthogonal with respect to an even weight function ⋮ Zeros of Sobolev orthogonal polynomials on the unit circle ⋮ On Some Recent Results on Asymptotic Behavior of Orthogonal Polynomials on the Unit Circle and Inserting Point Masses ⋮ New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials

Cites Work

• The Laguerre-Sobolev-type orthogonal polynomials. Holonomic equation and electrostatic interpretation
• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
• Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials
• Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
• Chain sequences and symmetric generalized orthogonal polynomials
• Asymptotic properties of generalized Laguerre orthogonal polynomials.
• The Laguerre-Sobolev-type orthogonal polynomials
• Zero distribution of orthogonal polynomials in a certain discrete Sobolev space
• Differential operators having Sobolev type Laguerre polynomials as eigenfunctions
• On differential equations for Sobolev-type Laguerre polynomials
• A Generalization of Laguerre Polynomials

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