On special strong differential subordinations using Sălăgean and Ruscheweyh operators.

In the present, paper we establish several strong differential subordinations regardind the new operator Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed, given by Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed.: denote the Ruscheweyh derivative, Sn f(z, ζ) is the Sălăgean operator and 휜*nζ = {f ∈ 휢(U x U̅), f(z, ζ) = z + αn+1 (ζ) zn+1 +…, z ∈ U, ζ ∈ U̅} is the class of normalized analytic functions with 휜*1ζ = 휜*ζ. [ABSTRACT FROM AUTHOR]