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https://www.ias.ac.in/article/fulltext/pmsc/124/04/0533-0549

Meromorphic functions; Nevanlinna theory; logarithmic order; uniqueness problem; difference-differential polynomial.

In this paper, we investigate the value distribution of 𝑞-difference polynomials of meromorphic function of finite logarithmic order, and study the zero distribution of difference-differential polynomials $[f^{n}(z)f (qz + c)]^{(k)}$ and $[f^{n}(z)(f (qz + c) - f (z))]^{(k)}$, where $f(z)$ is a transcendental function of zero order. The uniqueness problem of difference-differential polynomials is also considered.

Ting-Bin Cao¹ Kai Liu¹ Na Xu¹

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

Published

November 2014

Manuscript received

19 February 2013

Manuscript revised

6 October 2013