AFRIKA MATEMATIKA, vol.32, no.1-2, pp.105-113, 2021 (ESCI)
Article / Article
Emerging Sources Citation Index (ESCI), Scopus, zbMATH
Analytic functions, Hadamard product, Pascal distribution series, HYPERGEOMETRIC-FUNCTIONS, UNIVALENT-FUNCTIONS, STARLIKE
Istanbul Technical University Affiliated:
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.