2020/07/19 by Anand, Swati, Jain, Naveen Kumar, Kumar, Sushil
#30C45 #30C50 #30C80 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2007.09667
Let ϕ be a normalized convex function defined on open unit disk \mathbbD. For a unified class of normalized analytic functions which satisfy the second order differential subordination f'(z)+ αz f''(z) \prec ϕ(z) for all z∈ \mathbbD, we investigate the distortion theorem and growth theorem. Further, the bounds on initial logarithmic coefficients, inverse coefficient and the second Hankel determinant involving the inverse coefficients are examined.