A Note on Strong Differential Subordinations Using a Generalized Sălăgean Operator and Ruscheweyh Operator
نویسنده
چکیده
In the present paper we establish several strong differential subordinations regardind the extended new operator DRm λ defined by the Hadamard product of the extended generalized Sălăgean operator Dm λ and the extended Ruscheweyh derivative Rm, given by DRm λ : Anζ → Anζ , DRm λ f (z, ζ) = (Dm λ ∗Rm) f (z, ζ) , where Anζ = {f ∈ H(U × U), f(z, ζ) = z + an+1 (ζ) zn+1 + . . . , z ∈ U, ζ ∈ U} is the class of normalized analytic functions. 2000 Mathematics Subject Classification: 30C45, 30A20, 34A40.
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