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Pascal Distribution Series Connected with Certain Subclasses of Univalent Functions
El-Deeb, Sheeza M.,Bulboaca, Teodor,Dziok, Jacek Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.2
The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. For these functions, for linear combinations of these functions and their derivatives, for operators defined by convolution products, and for the Alexander-type integral operator, we find simple sufficient conditions such that these mapping belong to a general class of functions defined and studied by Goodman, Rønning, and Bharati et al.