On Uniqueness results for Meromorphic functions sharing small function concerning Homogeneous Differential Polynomials

Resumo

The purpose of this paper is to study the uniqueness of meromorphic functions sharing a small
function. In 2020 Molla Basie Ahmed and Santosh Linkha proved the uniqueness of meromorphic
functions sharing a small function of differential monomial. In this paper, we proved Υ^d
f ≡ P[Υf ] or
Υd
f − a ≡ c(P[Υf ] − a) when homogeneous differential polynomials Υd
f
and P[f] share 0 CM.