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 the notion of weakly weighted sharing and relaxed weighted sharing, where L-c(f)= f (z + c) c(0)f (z), P(z) is a polynomial with constant coefficients of degree m, and obtained the corresponding results, which improve and extend some recent results due to Sahoo and Biswas (Tamkang J. Math., 49, 85-97 (2018)). Some examples have been exhibited which are relevant to the content of the paper.