Surveys in Mathematics and its Applications (Apr 2020)
ON THE VALUE SHARING OF SHIFT MONOMIAL OF MEROMORPHIC FUNCTIONS
Abstract
We employ the notion of weighted and truncated sharing to study the uniqueness problems of generalized shift monomial sharing the same 1-points. The corollary deducted from our main results will improve a number of results of recent time. As an application of the main result we will also improve a recent result under the periphery of a more generalized shift operator. Some examples have been exhibited by us relevant to the content of the paper.