Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials

DOI10.1006/jath.2000.3530zbMath0983.42013OpenAlexW2026192681MaRDI QIDQ5937254

Francisco Marcellán, Juan José Moreno Balcázar

Publication date: 28 April 2002

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

Full work available at URL: https://doi.org/10.1006/jath.2000.3530

zbMATH Keywords

Sobolev orthogonal polynomialsLaguerre polynomialsBessel functionsMehler-Heine type formulamonic polynomialsPlancherel-Rotach asymptoticsscaled polynomialsSobolev inner productstrong asymptotics

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (14)

Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. ⋮ Asymptotic properties of generalized Laguerre orthogonal polynomials. ⋮ Asymptotics for some \(q\)-hypergeometric polynomials ⋮ Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms ⋮ Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms ⋮ On asymptotic properties of Freud--Sobolev orthogonal polynomials. ⋮ Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials ⋮ Analytic aspects of Sobolev orthogonal polynomials revisited ⋮ Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs ⋮ Smallest zeros of some types of orthogonal polynomials: asymptotics ⋮ A Cohen-Type Inequality for Fourier Expansions with Respect to Non-Discrete Laguerre–Sobolev Inner Product ⋮ Laguerre-Sobolev orthogonal polynomials: Asymptotics for coherent pairs of type II ⋮ A Mehler--Heine-type formula for Hermite--Sobolev orthogonal polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients
• On Sobolev orthogonal polynomials with coherent pairs: The Laguerre case, type 1
• Asymptotic properties of Sobolev orthogonal polynomials
• Analytic properties of nondiagonal Jacobi-Sobolev orthogonal polynomials
• Determination of all coherent pairs
• Zeros and critical points of Sobolev orthogonal polynomials
• An asymptotic result for Laguerre-Sobolev orthogonal polynomials
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures
• Asymptotics for orthogonal polynomials
• Generating Functions for Bessel and Related Polynomials

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