A NEW SUBCLASS OF NEGATIVE UNIVALENT FUNCTIONS INVOLVING POLYLOGARITHM FUNCTIONS

T. Stalin, M. Thirucheran and M. Vinothkumar

  DOI:  https://doi.org/10.37418/amsj.9.11.66

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In this current work, we introduce and study some properties for the new subclass $\mathcal{N}^n_{\beta,\gamma,\delta,b } (\phi(\mathsf{\xi}))$ of polylogarithms functions associated with the  differential operator $\mathcal{          D}^n_{ \lambda,\delta} f(\mathsf{\xi})$. Also, we have obtained coefficient inequalities, integralmeans of inequalities, extreme points and distortion of the class.

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