Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Pascal Distribution Series Connected with Certain Subclasses of Univalent Functions

  • El-Deeb, Sheeza M. (Department of Mathematics, Faculty of Science, Damietta University) ;
  • Bulboaca, Teodor (Faculty of Mathematics and Computer Science, Babes-Bolyai University) ;
  • Dziok, Jacek (Faculty of Mathematics and Natural Sciences, University of Rzeszow)
  • Published : 2019.06.23
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Abstract

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.

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