BI-BAZILEVI˘ C FUNCTIONS BASED ON HURWITZ-LERCH ZETA FUNCTION ASSOCIATED WITH EXPONENTIAL PARETO DISTRIBUTION
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In this paper, we introduce and investigate new subclass of bi-univalent functions defined in the open unit disk, which are based on Hurwitz-Lerch Zeta function associated with exponential Pareto distribution , satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in these new subclass. Several new consequences of the results are also pointed out.Additionally we discussed Fekete-Szeg¨o inequality results
Abstract
In this paper, we introduce and investigate new subclass of bi-univalent functions defined in the open unit disk, which are based on Hurwitz-Lerch Zeta function associated with exponential Pareto distribution , satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in these new subclass. Several new consequences of the results are also pointed out.Additionally we discussed Fekete-Szeg¨o inequality results In this paper, we introduce and investigate new subclass of bi-univalent functions defined in the open unit disk, which are based on Hurwitz-Lerch Zeta function associated with exponential Pareto distribution , satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in these new subclass. Several new consequences of the results are also pointed out.Additionally we discussed Fekete-Szeg¨o inequality results