Integral operators preserving subordination and superordination for multivalent functions
نویسندگان
چکیده
منابع مشابه
A 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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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.
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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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We denote by A the subclass of H a, 1 with the usual normalization f 0 f ′ 0 − 1 0, and denote by A the subclass ofA satisfying the condition h z h′ z / 0 for z ∈ U \ {0}. Let f and F be members of H. The function f is said to be subordinate to F, or F is said to be superordinate to f, if there exists a functionw analytic in Uwithw 0 0 and |w z | < 1 for z ∈ U and such that f z g w z z ∈ U . In...
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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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ژورنال
عنوان ژورنال: Ukrains’kyi Matematychnyi Zhurnal
سال: 2021
ISSN: 1027-3190
DOI: 10.37863/umzh.v73i6.437