Prime Factorization of Entire Functions
-
Xinhou Hua
hua@mathstat.uottawa.ca
-
R´emi Vaillancourt
remi@uottawa.ca
Downloads
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
Similar Articles
- John A.D. Appleby, James P. Gleeson, Alexandra Rodkina, Asymptotic Constancy and Stability in Nonautonomous Stochastic Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Volodymyr Sushch, Green Function for a Two-Dimensional Discrete Laplace-Beltrami Operator , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Feng Qi, The extended mean values: Definition, Properties, Monotonicities, Comparison, Convexities, Generalizations, and Applications , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Juhani Riihentaus, On an inequality related to the radial growth of subharmonic functions , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Reji T., Jinitha Varughese, Ruby R., On graphs that have a unique least common multiple , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Abhijit Banerjee, Arpita Kundu, On uniqueness of \(L\)-functions in terms of zeros of strong uniqueness polynomial , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- George A. Anastassiou, A New Expansion Formula , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Yogesh J. Bagul, Christophe Chesneau, Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Georgi Raikov, Spectral Shift Function for Schr¨odinger Operators in Constant Magnetic Fields , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Luciano Souza, Wilson Rosa de O. Júnior, Cícero Carlos R. de Brito, Christophe Chesneau, Renan L. Fernandes, Tiago A. E. Ferreira, Tan-G class of trigonometric distributions and its applications , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
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
Section
Articles