Polynomial of a meromorphic function and its k-th derivative sharing a set

摘要

The paper deals with the problem of determining some sufficient conditions under which a polynomial generated by a meromorphic function and its k -th derivative sharing a set become identical. In this context, we have somehow been able to present an unique range set for a special class of meromorphic functions with smallest cardinalities. We have exhibited a number of examples relevant to the content of the paper.