Abstract
The purpose of this paper is to introduce some results associated with the strong differential subordinations of analytic functions defined in the open unit disk and closed unit disk of the complex plane.
Highlights
Denote by H(U × U) the family of all analytic functions in U × U
The purpose of this paper is to introduce some results associated with the strong differential subordinations of analytic functions defined in the open unit disk and closed unit disk of the complex plane
3 SOME RESULTS FOR STRONG DIFFERENTIAL SUBORDINATION
Summary
Denote by H(U × U) the family of all analytic functions in U × U. Abstract: The purpose of this paper is to introduce some results associated with the strong differential subordinations of analytic functions defined in the open unit disk and closed unit disk of the complex plane. } and a ∈ C , let H∗[a, n, ζ] = {f ∈ H(U × U): f(z, ζ) = a + an(ζ)zn + an+1(ζ)zn+1 + ⋯ , z ∈ U, ζ ∈ U}, where ak(ζ) are holomorphic functions in Ufor k ≥ n.
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