Prime Factorization of Entire Functions

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Abstract

Let n be a prime number and let f(z) be a transcendental entire function. Then it is proved that both [f(z)+cz]n and [f(z)+cz]−n are uniquely factorizable for any complex number c, except for a countable set in ℂ.

Keywords

entire function , unique factorization
  • Xinhou Hua Department of Mathematics and Statistics University of Ottawa, Ottawa, ON, K1N 6N5, Canada.
  • R´emi Vaillancourt Department of Mathematics and Statistics University of Ottawa, Ottawa, ON, K1N 6N5, Canada.
  • Pages: 1–10
  • Date Published: 2008-03-01
  • Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal

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Published

2008-03-01

How to Cite

[1]
X. Hua and R. Vaillancourt, “Prime Factorization of Entire Functions”, CUBO, vol. 10, no. 1, pp. 1–10, Mar. 2008.

Issue

Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal

Section

Articles