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
- A. Kamal, T.I. Yassen, D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- P. Jeyanthi, S. Philo, Odd Harmonious Labeling of Some Classes of Graphs , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu, Existence, well-posedness of coupled fixed points and application to nonlinear integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- K. Kalyani, N. Seshagiri Rao, Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Jyotirmoy Mouley, M. M. Panja, B. N. Mandal, Approximate solution of Abel integral equation in Daubechies wavelet basis , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- H. Özlem Güney, G. Murugusundaramoorthy, K. Vijaya, Subclasses of \(\lambda\)-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Buddhadev Pal, Santosh Kumar, Pankaj Kumar, Einstein warped product spaces on Lie groups , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- René Erlín Castillo, Babar Sultan, A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Liancheng Wang, Bo Yang, New upper estimate for positive solutions to a second order boundary value problem with a parameter , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- A. Zerki, K. Bachouche, K. Ait-Mahiout, Existence of solutions for higher order \(\phi-\)Laplacian BVPs on the half-line using a one-sided Nagumo condition with nonordered upper and lower solutions , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
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