A Class of Univalent Functions with Negative Coefficients defined by Hadamard Product with Komatu Integral Operator

T. N. Shanmugam, C. Ramachandran, R. Ambrose Prabhu

Abstract


In our paper, we study a class $SRA(\lambda, \beta, \alpha, \mu, \theta)$ which consists of analytic and univalent functions with negative coefficients in the open unit disk $\mathbb{U}=\{z:| z | < 1 \}$ defined by Hadamard product (or convolution) with Komatu integral operator, we obtain coefficient bounds and exterior points for this class. Also Distortion Theorem using Fractional Calculus techniques and some results for this class are obtained.

Keywords


Univalent function; Hadamard product; Extreme point; Komatu integral operator; Distortion theorem; Fractional calculus

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DOI: http://dx.doi.org/10.26713%2Fcma.v4i1.162

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