Pascal Distribution Series Connected with Certain Subclasses of Univalent Functions

被引：68

作者：

El-Deeb, Sheeza M. ^{[1
]}

Bulboaca, Teodor ^{[2
]}

Dziok, Jacek ^{[3
]}

机构：

[1] Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt

[2] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

[3] Univ Rzeszow, Fac Math & Nat Sci, PL-35310 Rzeszow, Poland

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2019年 / 59卷 / 02期

关键词：

univalent functions; differential subordination; Pascal distribution series; Hadamard (convolution) product; k-uniformly starlike and k-uniformly conex functions;

D O I：

10.5666/KMJ.2019.59.2.301

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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, Winning, and Bharati et al.

引用

页码：301 / 314

页数：14

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