THE SECTIONS OF ODD UNIVALENT FUNCTIONS

Let $\{S_k}\]$ be the class of functions $\f(z) = z + \sum\limits_{m = 1}^\infty {b_{mk + 1}^{(k)}{z^{mk + 1}}} \]$ which are regular and univalent in $\\left| z \right| < 1\]$ and denote $\S_n^{(k)}(z) = z + \sum\limits_{m = 1}^\infty {b_{mk + 1}^{(k)}{z^{mk + 1}}} \]$. The authors prove that the functions $\S_n^{(2)}(z)\]$ are starlike in $\\left| z \right| < \frac{1}{{\sqrt 3 }}\]$.