Bounded functions starlike with respect to symmetrical points (Q1915534)

\(P[A,B]\), \(- 1 \leq B < A \leq 1\), is the class of functions \(p\) analytic is the unit disk \(E\) with \(p(0) = 1\) and subordinate to \({1 + Az \over 1 + BZ}\). \(f(z) = z + \sum_{n = 2}^\infty a_nz^n\) is said to be in \(S^*_s [A,B]\) if \(f\) is analytic in \(E\) and in addition \[ {2zf'(z) \over f(z) - f(-z)} \in P[A,B]. \] This definition is related to Sakaguchi's definition of the class of starlike functions with respect to symmetrical points. The author investigates the class \(S_S^* (A,B)\).