Fekete-Szegö Type Coefficient Inequalities for Certain Subclass of Analytic Functions and Their Applications Involving the Owa-Srivastava Fractional Operator | Zendy

Serap Bulut | Zendy

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Fekete-Szegö Type Coefficient Inequalities for Certain Subclass of Analytic Functions and Their Applications Involving the Owa-Srivastava Fractional Operator

Author(s) -

Serap Bulut

Publication year - 2014

Publication title -

international journal of analysis

Language(s) - English

Resource type - Journals

eISSN - 2314-4998

pISSN - 2314-498X

DOI - 10.1155/2014/490359

Subject(s) - mathematics , convolution (computer science) , type (biology) , hadamard product , operator (biology) , subclass , analytic function , pure mathematics , class (philosophy) , product (mathematics) , fractional calculus , hadamard transform , mathematical analysis , ecology , biochemistry , chemistry , geometry , antibody , repressor , machine learning , artificial intelligence , artificial neural network , computer science , transcription factor , gene , immunology , biology

A new subclass of analytic functions is introduced. For this class, firstly the Fekete-Szegö type coefficient inequalities are derived. Various known or new special cases of our results are also pointed out. Secondly some applications of our main results involving the Owa-Srivastava fractional operator are considered. Thus, as one of these applications of our result, we obtain the Fekete-Szegö type inequality for a class of normalized analytic functions, which is defined here by means of the Hadamard product (or convolution) and the Owa-Srivastava fractional operator

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