Abstract
This paper studies the uniqueness of a nonconstant meromorphic function \(f(z)\) of hyperorder strictly less than 1 concerning its differential polynomial and shift with partially shared values. Especially, we prove that if the differential polynomial \(M(f)\) and \(f(z+c)\) share \(a\) IM and \(E(b,f(z+c))\subset E(b,M(f)),E(\infty,M(f))\subset E(\infty,f(z+c))\) under additional assumptions, where \(a,b\) are distinct finite constants and \(M(f)\not\equiv 0\) is a differential polynomial in \(f\) and its derivatives with constant coefficients, then \(M(f)\equiv f(z+c)\) and \(f(z)\) is a transcendental entire function.
