{"title":"关于p价星形的几个充分条件","authors":"M. Nunokawa, J. Sokół","doi":"10.7153/jmi-2023-17-01","DOIUrl":null,"url":null,"abstract":". In this paper we prove some properties for functions that are multivalent in the unit disc | z | < 1 in the complex plane. As a corollary we obtain that if f ( z ) is p -valent, p (cid:2) 10, and (cid:2)(cid:2)(cid:2) arg (cid:3) f ( p ) ( z ) (cid:4)(cid:2)(cid:2)(cid:2) < π in | z | < 1, then f ( z ) is p -valent starlike.","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On some sufficient conditions for p-valently starlikeness\",\"authors\":\"M. Nunokawa, J. Sokół\",\"doi\":\"10.7153/jmi-2023-17-01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper we prove some properties for functions that are multivalent in the unit disc | z | < 1 in the complex plane. As a corollary we obtain that if f ( z ) is p -valent, p (cid:2) 10, and (cid:2)(cid:2)(cid:2) arg (cid:3) f ( p ) ( z ) (cid:4)(cid:2)(cid:2)(cid:2) < π in | z | < 1, then f ( z ) is p -valent starlike.\",\"PeriodicalId\":49165,\"journal\":{\"name\":\"Journal of Mathematical Inequalities\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Inequalities\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/jmi-2023-17-01\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Inequalities","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/jmi-2023-17-01","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
. 本文证明了复平面上单位圆盘| z | < 1上多价函数的一些性质。作为推论,我们得到如果f (z)是p价,p (cid:2) 10,和(cid:2)(cid:2)(cid:2) arg (cid:3) f (p)(z)(cid: 4)(cid:2)(cid:2)(cid:2) (cid:2) < π在| z | < 1,则f (z)是p价星状。
On some sufficient conditions for p-valently starlikeness
. In this paper we prove some properties for functions that are multivalent in the unit disc | z | < 1 in the complex plane. As a corollary we obtain that if f ( z ) is p -valent, p (cid:2) 10, and (cid:2)(cid:2)(cid:2) arg (cid:3) f ( p ) ( z ) (cid:4)(cid:2)(cid:2)(cid:2) < π in | z | < 1, then f ( z ) is p -valent starlike.
期刊介绍:
The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts.
''JMI'' is published quarterly; in March, June, September, and December.