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ON CERTAIN CLASSES OF MULTIVALENT FUNCTIONS INVOLVING A GENERALIZED DIFFERENTIAL OPERATOR
Selvaraj, Chellian,Selvakumaran, Kuppathai A. Korean Mathematical Society 2009 대한수학회보 Vol.46 No.5
Making use of a generalized differential operator we introduce some new subclasses of multivalent analytic functions in the open unit disk and investigate their inclusion relationships. Some integral preserving properties of these subclasses are also discussed.
SUFFICIENT CONDITIONS FOR UNIVALENCE OF A GENERAL INTEGRAL OPERATOR
Selvaraj, Chellian,Karthikeyan, Kadhavoor Ragavan Korean Mathematical Society 2009 대한수학회보 Vol.46 No.2
In this paper, univalence of a certain integral operator and some interesting properties involving the integral operators on the classes of complex order are obtained. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out.
Sufficient conditions for univalence of a general integral operator
Chellian Selvaraj,Kadhavoor Ragavan Karthikeyan 대한수학회 2009 대한수학회보 Vol.46 No.2
In this paper, univalence of a certain integral operator and some interesting properties involving the integral operators on the classes of complex order are obtained. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out. In this paper, univalence of a certain integral operator and some interesting properties involving the integral operators on the classes of complex order are obtained. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out.
On certain classes of multivalent functions involving a generalized differential operator
Chellian Selvaraj,Kuppathai A. Selvakumaran 대한수학회 2009 대한수학회보 Vol.46 No.5
Making use of a generalized differential operator we introduce some new subclasses of multivalent analytic functions in the open unit disk and investigate their inclusion relationships. Some integral preserving properties of these subclasses are also discussed. Making use of a generalized differential operator we introduce some new subclasses of multivalent analytic functions in the open unit disk and investigate their inclusion relationships. Some integral preserving properties of these subclasses are also discussed.