Let A(p) be the class of functions $f;:;z^p;+;sumlimits_{j=1}^{infty}a_jz^{p+j}$ analytic in the open unit disc E. Let, for any integer n > -p, $f_{n+p-1}(z);=;z^p+sumlimits_{j=1}^{infty}(p+j)^{n+p-1}z^{p+j}$. We define $f_{n+p-1}^{(-1)}(z)$ by using convolution * as $f_{n+p-1};*;f_{n+p-1}^{-1}=frac{z^p}{(1-z)^{n+p}$. A function p, analytic in E with p(0) = 1, is in the class $P_k( ho)$ if ${int}_0^{2pi}|frac{Re;p(z)- ho}{p- ho}|;d heta;leq;k{pi}$, where $z=re^{i heta}$, $k;geq;2$ and $0;{leq}; ho;{leq};p$. We use the class $P_k( ho)$ to introduce a new class of multivalent analytic functions and define an integral operator $L_{n+p-1}(f);;=;f_{n+p-1}^{-1};*;f$ for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.