Double subordination preserving properties for generalized fractional differ-integral operator
نویسندگان
چکیده
منابع مشابه
Double Subordination Preserving Properties for Generalized Fractional Differ–integral Operator
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 کاملDouble 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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In the present investigation, we obtain subordination and superordination – preserving properties of certain integral operator with the sandwich type theorem.
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In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.
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ژورنال
عنوان ژورنال: Journal of Classical Analysis
سال: 2014
ISSN: 1848-5987
DOI: 10.7153/jca-05-13