Asymptotic formulae for generalized Freud polynomials

DOI10.1016/j.jmaa.2014.07.026zbMath1295.30014OpenAlexW2046879904MaRDI QIDQ401377

M. Luisa Rezola, Manuel Alfaro, Ana Peña, Juan José Moreno Balcázar

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.026

zbMATH Keywords

asymptoticszerosMehler-Heine formulasgeneralized Freud orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Polynomials and rational functions of one complex variable (30C10) Asymptotic representations in the complex plane (30E15)

Related Items (9)

Asymptotics for some \(q\)-hypergeometric polynomials ⋮ Connection formulas for general discrete Sobolev polynomials: Mehler-Heine asymptotics ⋮ Sobolev Orthogonal Polynomials: Asymptotics and Symbolic Computation ⋮ Properties of generalized Freud polynomials ⋮ The asymptotics of the geometric polynomials ⋮ Asymptotics for varying discrete Sobolev orthogonal polynomials ⋮ Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics ⋮ On properties of a deformed Freud weight ⋮ Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthonormal polynomials with exponential-type weights
• Global asymptotics of orthogonal polynomials associated with \(|x|^{2\alpha} e^{-Q(x)}\)
• Plancherel-Rotach-type asymptotics for orthogonal polynomials associated with \(\exp (-x^ 6/6)\)
• Extremal Problems for Polynomials with Exponential Weights
• Asymptotics for Orthogonal Polynomials Associated with $\exp ( - x^4 )$
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• Asymptotic behaviour of orthogonal polynomials relative to measures with mass points
• Limit theorems of polynomial approximation with exponential weights
• Orthogonal polynomials for exponential weights

This page was built for publication: Asymptotic formulae for generalized Freud polynomials