Global asymptotics of orthogonal polynomials associated with \(|x|^{2\alpha} e^{-Q(x)}\)

DOI10.1016/j.jat.2009.09.007zbMath1198.33004OpenAlexW1536343860MaRDI QIDQ968973

Lun Zhang, Roderick Wong

Publication date: 11 May 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2009.09.007

zbMATH Keywords

orthogonal polynomialsBessel functionsRiemann-Hilbert problemsAiry functionsglobal asymptotics

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (7)

Global asymptotics of orthogonal polynomials associated with a generalized Freud weight ⋮ Properties of generalized Freud polynomials ⋮ Asymptotic formulae for generalized Freud polynomials ⋮ The symmetric semi-classical orthogonal polynomials of class two and some of their extensions ⋮ On properties of a deformed Freud weight ⋮ Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials ⋮ LINEAR DIFFERENCE EQUATIONS WITH A TRANSITION POINT AT THE ORIGIN

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