On some growth properties related to certain type of difference polynomials

For an entire function, we define the difference operators as Δ_cf(z)=f(z+c)-f(z) and Δⁿ_cf(z)=Δ_C^n-1 (Δ_cF(Z)) where is a non-zero complex number and n ≥ 2 being a positive integer. If c = 1 we write Δ_cf(z)=Δf(Z). Now let us consider, where f being an entire function n, m, y_j(J=1, 2, 3,….d) and, are all non-negative integers. Then F is called the difference monomial generated by entire f. In this paper, we will establish some comparative growth properties of differential-difference polynomials of the above form generated by an entire function f as indicated. In fact, the results obtained here improve some earlier theorems.