Asymptotics and zero distribution of Padé polynomials associated with the exponential function
type: Item
instance of: scholarly article
title: Asymptotics and zero distribution of Padé polynomials associated with the exponential function
zbMATH Open document ID: 0904.41009
DOI: 10.1016/S0377-0427(97)00230-6
author: Kathy Driver
author: Nico M. Temme
published in: Journal of Computational and Applied Mathematics
publication date: 1999-01-26T00:00:00Z
review text: The asymptotic distribution of zeros and poles of Padé approximants to the exponential function \(e^{-z}\) was extensively studied twenty years ago by Saff, Varga and some other people with help of the saddle point method using to estimate the integrals defining the Padé approximant polynomials. A new approach for locating these zeros and poles is presented in terms of zeros of certain Airy functions used to approximate the integrals representing the Padé approximant polynomials.
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 1180786
zbMATH Keywords: application of Airy functions
zbMATH Keywords: saddle point method
reviewed by: Jacek Gilewicz
MaRDI profile type: Publication
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full work available at URL: s0377-0427(97)00230-6
OpenAlex ID: W2049201100
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description: scientific article; zbMATH DE number 1180786