On pseudo-primality of the \(2n\)-th power of prime entire functions
type: Item
instance of: scholarly article
title: On pseudo-primality of the \(2n\)-th power of prime entire functions
zbMATH Open document ID: 0654.30021
author: S. H. Smith
published in: Kodai Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: The author proves a number of results on prime entire functions. The most interesting is his Theorem 2: Let \(F(z)\) be a right prime entire function and \(F^{2n}(z)\) is not pseudo-prime for some natural number \(n\). Then there must exist a transcendental entire function \(h(\omega)\) such that \(F(z)=\cos(az+b)h(\sin(az+b))\), \(a\) and \(b\) are constants.
reviewed by: Fred Gross
Mathematics Subject Classification ID: 30D20
zbMATH DE Number: 4067309
zbMATH Keywords: prime entire functions
zbMATH Keywords: pseudo-primality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138038874
OpenAlex ID: W2011803599
cites work: Q5523155
cites work: On the Functional Equation f n +g n = h n
cites work: Q5683031
cites work: Q5723337
cites work: Order of composite functions of integral functions
cites work: On factorization of entire functions
cites work: On uniquely factorizable entire functions
cites work: On pseudo-primality of the \(n\)-th power of prime entire functions
DOI: 10.2996/KMJ/1138038874
description: scientific article; zbMATH DE number 4067309