Value distribution of the q-difference product of entire functions

oleh: Na Xu, Ting-Bin Cao, Chun-Ping Zhong

Format: Article
Diterbitkan: Texas State University 2014-11-01

Deskripsi

For a complex value $q\neq 0, 1$, and a transcendental entire function f(z) with order $0<\sigma(f)<\infty$, we study the value distribution of q-difference product f(z)f(qz) and $f^{n}(z)(f(qz)-f(z))$. Properties of entire solution of a certain q-difference linear equation are also considered.