Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure

DOI10.1016/j.jmaa.2015.08.002zbMath1321.33012arXiv1504.05976OpenAlexW2962949588MaRDI QIDQ497788

Alfredo Deaño, Pablo Román, Edmundo J. Huertas

Publication date: 25 September 2015

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

Full work available at URL: https://arxiv.org/abs/1504.05976

zbMATH Keywords

orthogonal polynomialshypergeometric functionsasymptotic analysiscanonical spectral transformations of measures

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Uses Software

• DLMF
• OPQ

Cites Work

• A note on the Geronimus transformation and Sobolev orthogonal polynomials
• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory
• A new algorithm for computing the Geronimus transformation with large shifts
• Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions
• On the expansion of confluent hypergeometric functions in terms of Bessel functions
• Rational spectral transformations and orthogonal polynomials
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type
• Darboux transformation and perturbation of linear functionals
• Strong and ratio asymptotics for Laguerre polynomials revisited
• Multiple Geronimus transformations
• On an inverse problem for a linear combination of orthogonal polynomials
• Identifying minimal and dominant solutions for Kummer recursions
• DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS
• Numerical Methods for Special Functions
• On Mechanical Quadratures, In Particular, with Positive Coefficients
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