Asymptotic behaviour of Laguerre-Sobolev-type orthogonal polynomials. A nondiagonal case

DOI10.1016/j.cam.2009.07.055zbMath1213.33018OpenAlexW2160353799MaRDI QIDQ607249

Francisco Marcellán, Herbert Dueñas

Publication date: 19 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.07.055

zbMATH Keywords

Laguerre polynomialsBessel functionouter relative asymptoticsQuasi-orthogonal polynomialsMehler-Heine formula.relative asymptoticsSobolev-type inner products

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 (8)

Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime ⋮ Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications ⋮ Krall-Laguerre commutative algebras of ordinary differential operators ⋮ Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms ⋮ The holonomic equation of the Laguerre–Sobolev-type orthogonal polynomials: a non-diagonal case ⋮ Jacobi–Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation – a non-diagonal case ⋮ Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product ⋮ Quasi-orthogonality of some hypergeometric polynomials

Cites Work

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• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
• Generalizations of Laguerre polynomials
• Classical orthogonal polynomials: A functional approach
• Quasi-orthogonality with applications to some families of classical orthogonal polynomials.
• Asymptotic properties of generalized Laguerre orthogonal polynomials.
• Sobolev-type orthogonal polynomials: The nondiagonal case
• Zero distribution of orthogonal polynomials in a certain discrete Sobolev space
• Asymptotics for a generalization of Hermite polynomials
• A Generalization of Laguerre Polynomials

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