Uniqueness of entire functions concerning differential–difference polynomials sharing small functions

In this paper, we investigate the uniqueness problem of differential–difference polynomials $$(f^{n}(z)P(f)L_c(f))^{(k)}$$ and $$(g^{n}(z)P(g)L_c(g))^{(k)}$$ sharing a small function under notion weakly weighted relaxed sharing, where $$L_c(f)=f(z+c)+c_0f(z)$$ , P(z) is polynomial with constant coefficients degree m, obtained corresponding results, which improve extend some recent results due to Sahoo Biswas (Tamkang J. Math., 49, 85–97 (2018)). Some examples have been exhibited are relevant content paper.