{"title":"Generalized Distribution and Its Geometric Properties Associated with Univalent Functions","authors":"S. Porwal","doi":"10.1155/2018/8654506","DOIUrl":null,"url":null,"abstract":"The purpose of the present paper is to introduce a generalized discrete probability distribution and obtain some results regarding moments, mean, variance, and moment generating function for this distribution. Further, we show that for specific values it reduces to various well-known distributions. Finally, we give a beautiful application of this distribution on certain analytic univalent functions.","PeriodicalId":53147,"journal":{"name":"Journal of Complex Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"22","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Complex Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2018/8654506","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 22
Abstract
The purpose of the present paper is to introduce a generalized discrete probability distribution and obtain some results regarding moments, mean, variance, and moment generating function for this distribution. Further, we show that for specific values it reduces to various well-known distributions. Finally, we give a beautiful application of this distribution on certain analytic univalent functions.
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