Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2016; 53(1): 29-38

Printed January 31, 2016

https://doi.org/10.4134/BKMS.2016.53.1.29

Copyright © The Korean Mathematical Society.

Value distribution of some $q$-difference polynomials

Na Xu and Chun-Ping Zhong

Xiamen University, Xiamen University

Abstract

For a transcendental entire function $f(z)$ with zero order, the purpose of this article is to study the value distributions of $q$-difference polynomial $f(qz)-a(f(z))^{n}$ and $f(q_{1}z)f(q_{2}z)\cdots f(q_{m}z)-a(f(z))^{n}.$ The property of entire solution of a certain $q$-difference equation is also considered.

Keywords: $q$-difference polynomial, value distribution, entire function

MSC numbers: 30D35, 39A05