Uniqueness of entire function and its linear differential polynomial

In this paper we investigate the uniqueness problem of entire function \(f\) and its linear differential polynomial{equation*}aₖ( z) f( k)+aₖ₋₁( z) f⁽ᵏ⁻¹⁾+⋯+a₁( z) f'{equation*}sharing an entire function \(a≡ a( z)\) counting multiplicities(CM) with{equation*}σ ( a) <σ ( f){equation*}under some restrictions imposed on the coefficients \(aⱼ( z) ( {j=1,2,,k})\). Our result improves and generalizes some earlier results.