On the order and type of basic and composite sets of polynomials in complete Reinhardt domains
type: Item
instance of: scholarly article
title: On the order and type of basic and composite sets of polynomials in complete Reinhardt domains
zbMATH Open document ID: 1027.32002
DOI: 10.1023/A:1025705824816
author: Z. M. Kishka
author: A. El-Sayed Ahmed
published in: Periodica Mathematica Hungarica
publication date: 2003-12-14T00:00:00Z
review text: Given a suitable set of polynomials \(\{P_\nu\}_{\nu\geq 1}\) in \(n\) complex variables, the authors investigate conditions ensuring that any entire function \(f\) of a given finite order can be expanded in a series \(f=\sum_\nu a_\nu P_\nu\). It should be remarked that in the paper, the terminology ``complete Reinhardt domain'' represents merely polydisks, but not the general notion of complete Reinhardt domain.
Mathematics Subject Classification ID: 32A05
Mathematics Subject Classification ID: 32A15
Mathematics Subject Classification ID: 32A17
Mathematics Subject Classification ID: 32A30
zbMATH DE Number: 2016841
zbMATH Keywords: entire functions
zbMATH Keywords: order and type
zbMATH Keywords: polynomials
zbMATH Keywords: several complex variables
zbMATH Keywords: Reinhardt domains
reviewed by: Vincent Thilliez
MaRDI profile type: Publication
full work available at URL: a:1025705824816
OpenAlex ID: W1700383508
description: scientific article; zbMATH DE number 2016841