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.
@article{1521,
title = {Prime Factorization of Entire Functions},
journal = {CUBO, A Mathematical Journal},
volume = {10},
year = {2008},
language = {en},
url = {http://dml.mathdoc.fr/item/1521}
}
Hua, Xinhou; Vaillancourt, R´emi. Prime Factorization of Entire Functions. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1521/