负二项分布级数在全纯函数上的应用

IF 1.1 4区化学 Q4 PHYSICS, ATOMIC, MOLECULAR & CHEMICAL

European Journal of Mass Spectrometry Pub Date : 2021-03-23 DOI:10.34198/EJMS.6221.271292

A. Wanas, Najah Ali Jiben Al-Ziadi

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引用次数: 10

摘要

本文的目的是推导出在开单位圆盘上定义的全纯函数的幂级数p (p)的充分必要条件，p (p)的系数是F族，，，，，p (p)负二项分布的概率。我们建立了这类函数的一些重要的几何性质，如系数估计、极值点、邻域性质、积分表示、星形和凸半径以及Hadamard积性质。并确定了幂级数的微分隶属性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Applications of Beta Negative Binomial Distribution Series on Holomorphic Functions

The purpose of this article is to derive the necessary and sufficient conditions for the power series ℘ג, whose coefficients are probabilities of the beta negative binomial distribution to be in the family F , , , , , ג, of holomorphic functions which are defined in the open unit disk. We establish a number of important geometric properties, such as, coefficient estimates, extreme points, neighborhood property, integral representation, radii of starlikeness and convexity and Hadamard product properties for functions belongs to this family. Also we determinate some differential subordination properties of the power series ℘ג, .

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来源期刊

European Journal of Mass Spectrometry 物理-光谱学

CiteScore

2.40

自引率

7.70%

发文量

审稿时长

>12 weeks

期刊介绍： JMS - European Journal of Mass Spectrometry, is a peer-reviewed journal, devoted to the publication of innovative research in mass spectrometry. Articles in the journal come from proteomics, metabolomics, petroleomics and other areas developing under the umbrella of the “omic revolution”.