Sharp Coefficients Bounds for Starlike Functions Associated with Gregory Coefficients

In this paper we introduced the class 𝒮_G^* of analytic functions which is related with starlike functions and generating function of Gregory coefficients. By using bounds on some coefficient functionals for the family of functions with positive real part, we obtain several sharp coefficient bounds on the first six coefficients and also further bounds on the corresponding Hankel determinants for functions in the class 𝒮_G^* . Additionally, the sharp bounds for logarithmic and inverse coefficients of functions belonging to the considered class 𝒮_G^* were estimated.