Direct and inverse results on row sequences of generalized Padé approximants to polynomial expansions

Autor:	Nattapong Bosuwan
Rok vydání:	2018
Předmět:	Polynomial Mathematics::Complex Variables General Mathematics 010102 general mathematics Mathematics::Classical Analysis and ODEs Inverse 010103 numerical & computational mathematics Function (mathematics) 01 natural sciences Convergence (routing) Condensed Matter::Statistical Mechanics Applied mathematics Padé approximant Gravitational singularity 0101 mathematics Mathematics
Zdroj:	Acta Mathematica Hungarica. 157:191-219
ISSN:	1588-2632 0236-5294
DOI:	10.1007/s10474-018-0878-8
Popis:	Starting from the orthogonal and Faber polynomial expansions of a function F, we study the asymptotic behaviors of two generalized Pade approximations (orthogonal Pade approximation and Pade–Faber approximation). We obtain both direct and inverse results relating the convergence of the poles of these approximants and the singularities of F. Thereby, we obtain analogues of theorems by A. A. Gonchar and S. P. Suetin.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9e7f75033f5d135dcd15697b07d42784 https://doi.org/10.1007/s10474-018-0878-8 Zobrazit plný text záznamu Full text from SpringerLink