On the neighbourhood of a subclass of univalent functions related to complex order (Q1864527)

The author considers the class \(R^b(A,B)\) of functions \(f\) of the form \(f(z)=z+a_2 z^2+\dots\) in the open unit disc \(E\), introduced by \textit{K. K. Dixit} and \textit{S. K. Pal} (Indian J. Pure Appl. Math. 26, No. 9, 889-896 (1995; Zbl 0835.30006)], where \(b\in\mathbb{C}\), \(b\neq 0\); \(A,B\in\mathbb{R}\), \(-1\leq B<A\leq 1\) are fixed numbers. He studies the \(\delta\)-neighbourhoods for functions belonging to \(R^b(A,B)\), by using convolution techniques. The paper belongs to a wide series of articles concerning different classes of functions generated by the function \(h(z)={1+Az \over 1+Bz}\), \(z\in E\).