Strong and ratio asymptotics for Laguerre polynomials revisited

DOI10.1016/j.jmaa.2013.02.039zbMath1285.33009arXiv1301.4266OpenAlexW1993422832MaRDI QIDQ2442982

Alfredo Deaño, Edmundo J. Huertas, Francisco Marcellán

Publication date: 2 April 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4266

zbMATH Keywords

asymptotic expansionsLaguerre 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) Polynomials and rational functions of one complex variable (30C10)

Related Items (8)

Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime ⋮ Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions ⋮ Asymptotic computation of classical orthogonal polynomials ⋮ Convergence rates of exceptional zeros of exceptional orthogonal polynomials ⋮ High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions ⋮ A new quantum operator for distance ⋮ Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure ⋮ A NUMERICAL EVALUATION OF VACUUM POLARIZATION TENSOR IN CONSTANT EXTERNAL MAGNETIC FIELDS

Uses Software

• DLMF

Cites Work

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• Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials
• Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory
• Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions
• Asymptotic properties of generalized Laguerre orthogonal polynomials.
• Effective Laguerre Asymptotics
• Weighted Zero Distribution for Polynomials Orthogonal on an Infinite Interval
• Numerical Methods for Special Functions
• The Confluent Hypergeometric Function

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