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Some Sufficient Conditions for Certain Classes of Analytic Functions


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1 Department of Mathematics, Utkal University, Vani Vihar, Bhubaneswar-751 004, India
     

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Let H denote the class of functions f(z) = z+ Σ anzn n = 2 analytic in the unit disc E. In the present paper, we obtain some sufficient conditions for functions in H to be in the class C (δ,A,B).

Keywords

Subordination, Close-to-Convex, Hadamard Product, Ruscheweyh's Derivative.
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  • Some Sufficient Conditions for Certain Classes of Analytic Functions

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Authors

J. Patel
Department of Mathematics, Utkal University, Vani Vihar, Bhubaneswar-751 004, India

Abstract


Let H denote the class of functions f(z) = z+ Σ anzn n = 2 analytic in the unit disc E. In the present paper, we obtain some sufficient conditions for functions in H to be in the class C (δ,A,B).

Keywords


Subordination, Close-to-Convex, Hadamard Product, Ruscheweyh's Derivative.