An asymptotic expansion for a class of biorthogonal polynomials with respect to a measure on the unit circle
type: Item
instance of: scholarly article
title: An asymptotic expansion for a class of biorthogonal polynomials with respect to a measure on the unit circle
zbMATH Open document ID: 1426.42021
author: J. Borrego-Morell
author: Fernando R. Rafaeli
published in: Applied Mathematics and Computation
publication date: 2019-04-29T00:00:00Z
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 7048820
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: hypergeometric functions
MaRDI profile type: Publication
full work available at URL: j.amc.2017.05.070
OpenAlex ID: W2622758680
cites work: Q3728376
cites work: Asymptotic Formulas for Toeplitz Determinants
cites work: On a class of biorthogonal polynomials on the unit circle
cites work: On the existence of short trajectories of quadratic differentials related to generalized Jacobi polynomials with non-real varying parameters
cites work: Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
cites work: Q5820721
cites work: Error Bounds for Asymptotic Expansions of the Ratio of Two Gamma Functions
cites work: Asymptotic phenomena in mathematical physics
cites work: Orthogonality and asymptotics of pseudo-Jacobi polynomials for non-classical parameters
cites work: Uniform asymptotic expansions for hypergeometric functions with large parameters IV
cites work: Strong asymptotics for Jacobi polynomials with varying nonstandard parameters
cites work: Orthogonality of Jacobi polynomials with general parameters
cites work: Some remarks on large Toeplitz determinants
cites work: Global asymptotics of the Szegő–Askey polynomials
cites work: Q5507817
cites work: Riemann--Hilbert analysis for Jacobi polynomials orthogonal on a single contour
cites work: Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle
cites work: Trajectories of quadratic differentials for Jacobi polynomials with complex parameters
cites work: UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS I
cites work: UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS II
cites work: UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS III
cites work: Q4059363
cites work: Asymptotics of the Gauss hypergeometric function with large parameters, I
cites work: Asymptotics of the Gauss hypergeometric function with large parameters, II
cites work: Asymptotic distributions of the zeros of a family of hypergeometric polynomials
cites work: Uniform asymptotic expansion for a class of polynomials biorthogonal on the unit circle
cites work: Q4880419
cites work: ASYMPTOTISCHE ENTWICKLUNGEN DER HYPERGEOMETRISCHEN FUNKTION F(a, b, c, z) FÜR IcI →∞ UND KONSTANTE WERTE a, b UND z
cites work: Asymptotic approximations of integrals
DOI: 10.1016/J.AMC.2017.05.070
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7048820