Initial logarithmic coefficients for functions starlike with respect to symmetric points

Abstract In this paper, we obtain the bounds of initial logarithmic coefficients for functions in classes $${\mathcal {S}}_S^*$$ S ? and {K}}_S$$ K which are starlike with respect to symmetric points convex points, respectively. our research, use a different approach than usual one coeffcients f expressed by corresponding positive real part. what follows, express Schwarz functions. proofs, apply some inequalities these obtained Prokhorov Szynal, Carlson Efraimidis. This offers additional benefit. many cases, it is easily possible predict exact result select extremal It case .