On the existence of real entire functions with a prescribed ordered set of stationary values
type: Item
instance of: scholarly article
title: On the existence of real entire functions with a prescribed ordered set of stationary values
zbMATH Open document ID: 0802.41029
author: Gundorph K. Kristiansen
published in: Journal of Approximation Theory
publication date: 1994-03-27T00:00:00Z
review text: It is established that to each ordered set of real stationary values there is a unique corresponding real entire function \(f\) taking on the stationary values a given order and with given multiplicities along the real axis. Besides the elements of the given set are the roots of the derivative \(f'\) and the latter belongs to the Polya-Laguerre class. The explicit formula for \(f'\) is also given.
Mathematics Subject Classification ID: 41A99
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 540078
zbMATH Keywords: Polya-Laguerre class
reviewed by: M.-B. A. Babaev
MaRDI profile type: Publication
full work available at URL: jath.1993.1103
OpenAlex ID: W2051146029
DOI: 10.1006/JATH.1993.1103
description: scientific article; zbMATH DE number 540078