Pascal Distribution Series Connected with Certain Subclasses of Univalent Functions
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The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coecients are probabilities of the Pascal distribution. For these functions, for linear combinations of these functions and their derivatives, for operators de ned by convolution products, and for the Alexander-type integral operator, we nd simple sucient conditions such that these mapping belong to a general class of functions de ned and studied by Goodman, R nning, and Bharati et al.
Abstract
The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coecients are probabilities of the Pascal distribution. For these functions, for linear combinations of these functions and their derivatives, for operators de ned by convolution products, and for the Alexander-type integral operator, we nd simple sucient conditions such that these mapping belong to a general class of functions de ned and studied by Goodman, R nning, and Bharati et al.
참고문헌 (18)
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