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https://www.ias.ac.in/article/fulltext/pmsc/121/03/0301-0310

Meromorphic function; 𝑞-shift; difference polynomial; uniqueness; zero order.

In this paper, we consider the zero distributions of 𝑞-shift difference polynomials of meromorphic functions with zero order, and obtain two theorems that extend the classical Hayman results on the zeros of differential polynomials to 𝑞-shift difference polynomials. We also investigate the uniqueness problem of 𝑞-shift difference polynomials that share a common value.

Kai Liu¹ Xin-Ling Liu¹ Ting-Bin Cao¹

1. Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, People’s Republic of China

Published

August 2011

Manuscript received

5 September 2010

Manuscript revised

6 February 2011