On some classes of analytic functions (Q5903568)

The authors consider a class of functions f(z) which can be described by \[ f'(z)=(S'_ 1(z))^{m_ 1}(S'_ 2(z))^{-m_ 2}, \] \(m_ 1\), \(m_ 2\) real and \(S_ 1\), \(S_ 2\) being convex functions or functions of bounded boundary rotation. Coefficient estimates, arc-length problem, radius of convexity with reference to this class are investigated.