Uniquely factorizable entire functions
type: Item
instance of: scholarly article
title: Uniquely factorizable entire functions
zbMATH Open document ID: 0712.30023
DOI: 10.1016/0022-247X(90)90261-D
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: The author proves some results on unique factorization. Let f(z) be a transcendental entire function \(n\geq 3\) a prime number. Then \((f(\omega)- a\omega)\circ z^ n\) and \(((\omega -a)f(\omega))\circ z^ n\) are uniquely factorizable for each complex number a, except for a countable set. Furthermore if f(z) is prime and f(z) has infnitely many zeros such that almost all zeros are in \(| \arg z-\pi | <\omega\) \((0<\omega <\frac{\pi}{2})\), then \(f^ n\) is uniquely factorizable.
reviewed by: Fred Gross
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 30D20
zbMATH DE Number: 4171295
author: Xinhou Hua
MaRDI profile type: Publication
cites work: On Factorizing Entire Functions
cites work: Q5833361
cites work: Q5683031
cites work: Proof of gross—yang's conjecture concerning factorization of entire functions
cites work: On factorization of entire functions
cites work: On certain criteria for the left-primeness of entire functions. I.
cites work: On uniquely factorizable entire functions
cites work: On unique factorizability of composite entire functions
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description: scientific article; zbMATH DE number 4171295