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

Frasin B. A. , Aydoğan S. M.

AFRIKA MATEMATIKA, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier


In the present paper, we determine sufficient conditions for the Pascal distribution series P( X = r) = ((r+m-1)(m-1)) 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.