PADE-TYPE APPROXIMANTS OF MARKOV AND MEROMORPHIC FUNCTIONS

Authors
AMBROLADZE A WALLIN H
Citation
A. Ambroladze et H. Wallin, PADE-TYPE APPROXIMANTS OF MARKOV AND MEROMORPHIC FUNCTIONS, Journal of approximation theory, 88(3), 1997, pp. 354-369
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of approximation theory → ACNP
ISSN journal
00219045
Volume
88
Issue
3
Year of publication
1997
Pages
354 - 369
Database
ISI
SICI code
0021-9045(1997)88:3<354:PAOMAM>2.0.ZU;2-D
Abstract
We study the question of convergence of Pade and Pade-type approximant s to Functions meromorphic in a domain. As an example we investigate i n detail the case of functions of the form <(mu)over cap(z)>+(j)=1 Sig ma(infinity)a(j)/z-b(j) where <(mu)over cap(z)> is a Markov function. (C) 1997 Academic Press.