The orthogonal polynomials and the Padé approximation
type: Item
instance of: scholarly article
title: The orthogonal polynomials and the Padé approximation
zbMATH Open document ID: 0926.33006
DOI: 10.1007/BF02452374
author: Faiz Ahmad
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1999-07-20T00:00:00Z
review text: This paper is concerned with the well-known link of the orghogonal polynomials and the theory of Padé approximations. The author uses properties of Legendre polynomials to construct diagonal Padé approximants for \(\exp(x)\), \(\tan x\) and \(\tanh x\). Further, Gauss quadrature formula is applied to find the denominators of the Padé approximants of functions represented by certain integrals.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 41A21
zbMATH DE Number: 1292899
zbMATH Keywords: diagonal Padé approximation
reviewed by: Luigi Gatteschi
MaRDI profile type: Publication
cites work: Q3889331
cites work: Nonuniqueness of best approximating complex rational functions
full work available at URL: https://doi.org/10.1007/bf02452374
OpenAlex ID: W2084706296
description: scientific article; zbMATH DE number 1292899