Mathematica Slovaca, cilt.69, sa.6, ss.1329-1340, 2019 (SCI-Expanded)
© 2019 Mathematical Institute Slovak Academy of Sciences.Let A denote the family of analytic functions f with f(0) = f′(0) - 1 = 0, in the open unit disk Δ. We consider a class (Equation Presenred), where 0 ≤ α ≤ 1/2, and ≺ is the subordination relation. The methods and techniques of geometric function theory are used to get characteristics of the functions in this class. Further, the sharp inequality for the logarithmic coefficients γn of f ∈ S∗ sc (α): (Eqation Presented) where Li2 denotes the dilogarithm function are investigated.