OBTAIN NEW SUBCLASS OF ANALYTIC FUNCTIONS INVOLVING HADAMARD PRODUCT OF LINEAR OPERATOR WITH POLYLOGARITHM FUNCTIONS

M. Thirucheran, M. Vinothkumar and T. Stalin

  DOI:  https://doi.org/10.37418/amsj.9.11.67

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In this article, we explore some standard properties for the new subclass   $\mathcal{P}^{n,\lambda}_{\delta,b } (\phi(\zeta))$ of analytic function which is associated with the differential operator $\mathcal{G}^{n,\lambda}_{\delta} f(\zeta)$ and also we obtain Briot-Bouquet differential subordination, coefficient inequalities, integral means of inequalities, extreme points and distortion of the class of polylogarithms functions.

Keywords: Analytic functions, univalent functions, polylogarithm functions, Hadamard product, derivative operator.