Certain Estimates of Normalized Analytic Functions

Abstract Let ϕ be a normalized convex function defined on open unit disk D . For unified class of analytic functions which satisfy the second order differential subordination f′ ( z ) + αzf″ ≺ for all z ∈ , we investigate distortion theorem and growth theorem. Further, bounds initial logarithmic coefficients, inverse coefficient Hankel determinant involving coefficients are examined.