Pascal distribution series for subclasses of analytic functions associated with conic domains

In the present paper, we determine sufficient conditions for the Pascal distribution series $$P(X=r)=\left( {\begin{array}{c}r+m-1\\ m-1\end{array}}\right) \,q^{r}(1-q)^{m},$$ to be in the subclasses of k-parabolic functions and k-uniformly convex functions associated with conic domains. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.