Logarithmic Coefficients Inequality for the Family of Functions Convex in One Direction

The logarithmic coefficients play an important role for different estimates in the theory of univalent functions. Due to significance recent studies about coefficients, problem obtaining sharp bounds modulus these has received attention. In this research, we obtain inequality involving functions well-known class G and investigate a majorization belonging family. To prove our main results, use Briot–Bouquet differential subordination obtained by J.A. Antonino S.S. Miller result T.J. Suffridge connected Alexander integral. Combining give inequalities two types sums modules logarithmical indicating also extremal function. addition, derivative majorized G, followed application.