Value distribution and uniqueness of $q$-shift difference polynomials

Pulak Sahoo, Gurudas Biswas

In this paper, we deal with the distribution of zeros of q-shift difference polynomials of transcendental entire functions of zero order. At the same time we also investigate the uniqueness problems when two difference products of entire functions share one value with finite weight. The results of the paper improve and generalize some recent results due to Xu, Liu and Cao [Math. Commun. 20 (2015), 97-112].