Subordination-Preserving Integral Operators
نویسندگان
چکیده
منابع مشابه
Double Subordination-Preserving Properties for Certain Integral Operators
Let f and F be members of . The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a function w analytic in U, with w(0)= 0 and |w(z)| < 1, and such that f (z)= F(w(z)). In such a case, we write f ≺ F or f (z)≺ F(z). If the function F is univalent in U, then f ≺ F if and only if f (0)= F(0) and f (U)⊂ F(U) (cf. [1, 2]). Let φ : C2 → C and let h be...
متن کاملA Family of Integral Operators Preserving Subordination and Superordination
The main purpose of the present paper is to investigate some subordination-preserving and superordination-preserving properties of a certain family of integral operators. Several sandwich-type results associated with this family of integral operators are also derived. 2000 Mathematics Subject Classification. Primary 30C45; Secondary 30C80.
متن کاملA Class of Integral Operators Preserving Subordination and Superordination
The purpose of the present paper is to obtain subordinationand superordinationpreserving properties for a class of integral operators defined on the space of normalized analytic functions in the open unit disk. We also consider the sandwich-type theorems for these integral operators. 2000 Mathematics Subject Classification. Primary 30C80; Secondary 30C25, 30C45.
متن کاملResearch Article Double Subordination-Preserving Properties for Certain Integral Operators
Let f and F be members of . The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a function w analytic in U, with w(0)= 0 and |w(z)| < 1, and such that f (z)= F(w(z)). In such a case, we write f ≺ F or f (z)≺ F(z). If the function F is univalent in U, then f ≺ F if and only if f (0)= F(0) and f (U)⊂ F(U) (cf. [1, 2]). Let φ : C2 → C and let h be...
متن کاملNew Class of Integral Operators Preserving Subordination and Superordination for Analytic Meromorphic Functions
A certain class of integral operators Jβ,γ(f), γ, β ∈ C, β ∈ C\{0} and R(γ − β) > 1/2, of meromorphic functions in the punctured open unit disk is introduced. The main object of this paper is to investigate some subordination and superordination preserving properties of these integral operators with the sandwich type theorem.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1984
ISSN: 0002-9947
DOI: 10.2307/1999149