OBTAIN SUBCLASS OF ANALYTIC FUNCTIONS CONNECTED WITHCONVOLUTION OF POLYLOGARITHM FUNCTIONS

T. Stalin, M. Thirucheran and A. Anand

  DOI:  https://doi.org/10.37418/amsj.9.11.69

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In this work, we investigate some properties for the subclass $\mathcal{P}^n_{\beta,\lambda,\delta,b } (\phi(z ))$ of analytic function related with the linear differential operator $\mathcal{R}^n_{ \lambda,\delta} f(z )$ defined by polylogarithm functions. And also, we obtain coefficient inequalities, extreme points, radii of convexity and starlikeness, growth and distortion bounds for the subclass $\mathcal{P}^n_{\beta,\lambda,\delta,b } (\phi(z ))$.

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