Double Subordination-Preserving Properties for Certain 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 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...
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We obtain subordination and superordination preserving properties for the Saigo type generalized fractional differ-integral operator, defined for multivalent functions in the open unit disk. A differential sandwich-type theorem for these multivalent function, and some consequences are also presented.
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.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2007
ISSN: 1025-5834,1029-242X
DOI: 10.1155/2007/83073