Asymptotics of Hermite-Padé polynomials for a set of functions with different branch points
type: Item
instance of: scholarly article
title: Asymptotics of Hermite-Padé polynomials for a set of functions with different branch points
zbMATH Open document ID: 0612.41028
DOI: 10.1007/BF01890550
author: G. M. Trojan
author: John Nuttall
published in: Constructive Approximation
publication date: 1987-01-01T00:00:00Z
review text: This paper studies the asymptotics as \(n\to \infty\) of \(p_ j(z)\); polynomials of degree at most n satisfying \(p_ 1(z)+f_ 2(z)p_ 2(z)+f_ 3(z)p_ 3(z)=O(z^{-2n-2}),\) where \(f_ j(z)=((z-a_ j)(z- b_ j))^{1/2}-z+c_ j.\)
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 30E15
zbMATH DE Number: 3990021
zbMATH Keywords: diagonal Hermite-Padé polynomials
zbMATH Keywords: reproducing kernel
reviewed by: Johan Karlsson
MaRDI profile type: Publication
cites work: Asymptotic Form of Hermite-Padé Polynomials
cites work: Q5332416
cites work: Multi-dimensional generalizations of the Padé table
cites work: Hermite-Padé approximants to functions meromorphic on a Riemann surface
cites work: Asymptotics of diagonal Hermite-Padé polynomials
cites work: Asymptotics of generalized Jacobi polynomials
full work available at URL: https://doi.org/10.1007/bf01890550
OpenAlex ID: W2037667249
description: scientific article; zbMATH DE number 3990021