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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.
Multivalent Non-Carath\'eodory Functions Involving Higher Order Derivatives
Daniel Breaz,Kadhavoor Ragavan Karthikeyan,Sakkarai Lakshmi,Alagiriswamy Senguttuvan 대한수학회 2024 대한수학회논문집 Vol.39 No.3
In this paper, we use higher order derivatives with regard to symmetric points to introduce a class of multivalent starlike functions. The major deviation is that we define some differential characterizations that are subordinate to a function whose real part is not greater than zero. The primary outcomes of this study are initial coefficients and the Fekete-Szeg\H{o} inequality for functions falling under the given class. Also, we have obtained an interesting subordination results involving symmetric functions. The results obtained here extend or unify the various other well-known and new results.