Chinta Mani Pokhrel, S. Ruscheweyh, Gajendra B. Thapa
{"title":"The DCP radius of the exponential function","authors":"Chinta Mani Pokhrel, S. Ruscheweyh, Gajendra B. Thapa","doi":"10.1080/02781070500087105","DOIUrl":null,"url":null,"abstract":"We prove that erz is direction convexity preserving (DCP) for all 0<r≤ 1. This extends a previous result of G. Kurth (Kurth, G., 1991, Über variationsvermindernde Transformationen. Dissertation zur Erlangung des naturwissenschaftlichen Doktorgrades der Bayerischen Julius-Maximilian-Universität Würzburg, Würzburg.).","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"172 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables, Theory and Application: An International Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02781070500087105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We prove that erz is direction convexity preserving (DCP) for all 0