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2021/99/3-4 (7) — DOI: 10.5486/PMD.2021.8933 — pp. 371-388

Weighted set sharing and uniqueness of meromorphic functions

Authors: Pulak Sahoo and Samar Halder

Abstract:

The aim of this paper is to investigate the uniqueness problems of meromorphic functions when the derivatives of power of two functions share a finite set. Using the notion of weighted sharing of sets, we prove two results which extend and improve a recent result due to An and Khoai [1].

Keywords: meromorphic function, shared set, differential polynomial, weighted sharing

Mathematics Subject Classification: 30D35