Asymptotics for varying discrete Sobolev orthogonal polynomials

DOI10.1016/j.amc.2017.06.020zbMath1426.33034OpenAlexW2734698872MaRDI QIDQ1740083

Francisco Marcellán, Juan F. Mañas-Mañas, Juan José Moreno Balcázar

Publication date: 29 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.06.020

zbMATH Keywords

asymptoticszerosSobolev orthogonal polynomialsmehler-Heine formulae

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) Other special orthogonal polynomials and functions (33C47)

Related Items (6)

Sobolev Orthogonal Polynomials: Asymptotics and Symbolic Computation ⋮ Second-order difference equation for Sobolev-type orthogonal polynomials: Part I: theoretical results ⋮ A differential equation for varying Krall-type orthogonal polynomials ⋮ Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics ⋮ Mehler-Heine type formulas for the Krawtchouk polynomials ⋮ Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials

Cites Work

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• Symmetric orthogonal polynomials for Sobolev-type inner products
• Connection formulas for general discrete Sobolev polynomials: Mehler-Heine asymptotics
• Relative asymptotics for orthogonal polynomials with a Sobolev inner product
• Asymptotics for orthogonal polynomials
• Some properties of zeros of Sobolev-type orthogonal polynomials
• Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials
• Zero distribution of orthogonal polynomials in a certain discrete Sobolev space
• Mehler-Heine asymptotics for multiple orthogonal polynomials
• Orthogonal polynomials
• Limit theorems of polynomial approximation with exponential weights
• Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials

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