@article{oai:ynu.repo.nii.ac.jp:00006725, author = {Gupta, V. P.}, issue = {1&2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Let $S$ denote the class of functions of the form $f(z)=z-¥sum_{n=2}^{¥infty}|a_{n}|z^{n}$ that are analytic and univalent in the unit disk $U$. Let $S(¥alpha, ¥beta)$ and $K(¥alpha, ¥beta)$ denote the subclasses of $S$ consisting respectively, of starlike and close-to-convex functions of order $¥alpha(0¥leqq¥alpha<1)$ and type $¥beta(0<¥beta¥leqq 1)$ . In this Paper, we obtain a relationship between classes $S(¥alpha, ¥beta)$ and $K(¥alpha, ¥beta)$ by defining a subclass $B(¥alpha, ¥beta)$ of $K(¥alpha, ¥beta)$ . Coefficient estimates, distortion and covering theorems are obtained for the class $B(¥alpha, ¥beta)$ . The class $B(a, ¥beta)$ is convex.}, pages = {55--59}, title = {CONVEX CLASS OF STARLIKE FUNCTIONS}, volume = {32}, year = {1984} }