Unique range sets for derivatives of meromorphic functions

S. Mallick, R. Saha, D. Sarkar

In the paper, we introduce the notion of unique range sets for the class of derivatives of meromorphic functions and hence show that the existing least cardinality for unique range sets can be significantly reduced for this special class of meromorphic functions along with some relaxed sharing conditions. Moreover, we prove two theorems in this regard to the most general setting in order to incorporate all possible classes of finite sets for the uniqueness of derivatives of meromorphic functions. Finally, in the application section, we have exhibited a number of examples to justify the far-reaching applications of our main results. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16(4) (2023), pp. 109-131