2019/05/14 by Naz, Adiba, Kumar, Sushil, Ravichandran, V.
#30C45 #30C50 #30C80 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1905.05413
Ma-Minda class (of starlike functions) consists of all normalized analytic functions f on the unit disk for which the image of zf'(z)/f(z) is contained in the some starlike region in the right-half plane. We obtain the best possible bounds on the second and third coefficient for the inverse functions of functions in the Ma-Minda class. The bounds on the Fekete-Szegö functional and the second Hankel determinant of the inverse functions of the functions belonging to the Ma-Minda class are also determined. Further, the bounds on the first five coefficients of the inverse functions are investigated for two particular subclasses of the Ma-Minda class. In addition, some radius estimates associated with the two subclasses are also computed.