Efficient analytic continuation of power series by matrix summation methods
type: Item
instance of: scholarly article
title: Efficient analytic continuation of power series by matrix summation methods
zbMATH Open document ID: 1026.30004
DOI: 10.1007/BF03321013
author: Norair Arakelian
author: W. Luh
published in: Computational Methods and Function Theory
publication date: 2003-10-22T00:00:00Z
review text: The authors investigate some problems of efficient analytic continuation of power series in the plane \(\mathbb C\) by means of summability methods. They describe a new class of sets differing from domains allowing efficient summation (Theorem 1). In Section 3 they prove the existence of such matrix summation methods that are sufficient for the restoration of the analytic continuation of power series in a fixed point of a domain \(\Omega \subset \mathbb C\) without any additional conditions on \(\Omega.\)
Mathematics Subject Classification ID: 30B40
Mathematics Subject Classification ID: 40C05
zbMATH DE Number: 1995498
zbMATH Keywords: analytic continuation
zbMATH Keywords: matrix summation method
reviewed by: P. Z. Agranovich
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1995498