New Class of Integral Operators Preserving Subordination and Superordination for Analytic Meromorphic Functions
نویسندگان
چکیده
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.
منابع مشابه
Subordination and Superordination Properties for Convolution Operator
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.
متن کاملClasses of admissible functions associated with certain integral operators applied to meromorphic functions
In the present paper, by making use of the differential subordination and superordination results of Miller and Mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. Additionally, differential sandwich-type result is obtained.
متن کاملSandwich-type theorems for a class of integral operators with special properties
In the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.
متن کاملSome Subclasses of Meromorphic Functions Associated with a Family of Integral Operators
Making use of the principle of subordination between analytic functions and a family of integral operators defined on the space of meromorphic functions, we introduce and investigate some new subclasses of meromorphic functions. Such results as inclusion relationships and integralpreserving properties associated with these subclasses are proved. Several subordination and superordination results...
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 کامل