In this article we investigate the connections between the Pascal distribution series and the class of analytic functions f normalized by f(0) = f’(0) - 1 = 0 in the open unit disk U = {z ε C: |z| < 1} and its coefficients are probabilities of the Pascal distribution.More precisely,we determine such connection with parabolic starlike and uniformly convex functions in the open unit disk U. © 2020, Erdal Karapinar. All rights reserved.