Bulletin of the
Korean Mathematical Society BKMS

Let $A(p,k)$ $(p, k \in N)$ be the class of functions $f(z)=z^p + a_{p+k}z^{p+k} + \cdots$ analytic in the unit disk. We introduce a subclass $H(p, k, \lambda, \delta, A, B)$ of $A(p,k)$ by using the Ruscheweyh derivative. The object of the present paper is to show some properties of functions in the class $H(p, k, \lambda, \delta, A, B).$

Keywords: analytic function, Ruscheweyh derivative, convolution, subordination, partial sums

MSC numbers: 30C45