ESTIMATE THE NEW SUBCLASS OF NEGATIVE CO-EFFICIENT OF ANALYTIC FUNCTION DEFINED BY THE CONVOLUTION OF POLYLOGARITHM FUNCTIONS

M. Thirucheran, A. Anand and T. Stalin

  DOI:  https://doi.org/10.37418/amsj.9.11.68

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In this article, we contemplate and explore few properties for the class    $\mathcal{M}^{n,\lambda}_{\beta,\delta,b } (\phi(\xi))$ of analytic function which is related with the operator \linebreak $\mathcal{R}^{n,\lambda}_{\delta} f(\xi)$ of Polylogarithms functions and also we obtained Briot-Bouquet differential subordination, coefficient inequalities, integral means of inequalities, extreme points and distortion of the class of polylogarithms functions.

Keywords: Negative univalent functions, polylogarithms functions, Hadamard product, derivative operators.