{"title":"关于与(j, m)层对称点相关的k-均匀星形凸函数","authors":"Ebrahim Amini, Shrideh Al-Omari","doi":"10.1007/s13370-025-01254-4","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we aim to discuss several results associated with conical domains and some general properties. By utilizing some conical sections, we introduce a new class of analytic functions with respect to (<i>j</i>, <i>m</i>)-ply symmetric points, <span>\\(j=0,1,\\ldots ,m-1\\)</span> and <span>\\(m \\in \\mathbb {N}\\)</span>. Also, we formulate certain <i>k</i>-uniformly convex starlike functions influenced by the principle of the differential subordinations. In addition, we derive coefficient bounds for various functions in the given classes of analytic functions and evaluate certain sufficiency criteria in a form of convolutions. Over and above, we derive interesting results involving starlike functions as well.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On k-uniformly starlike convex functions associated with (j, m)-ply symmetric points\",\"authors\":\"Ebrahim Amini, Shrideh Al-Omari\",\"doi\":\"10.1007/s13370-025-01254-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we aim to discuss several results associated with conical domains and some general properties. By utilizing some conical sections, we introduce a new class of analytic functions with respect to (<i>j</i>, <i>m</i>)-ply symmetric points, <span>\\\\(j=0,1,\\\\ldots ,m-1\\\\)</span> and <span>\\\\(m \\\\in \\\\mathbb {N}\\\\)</span>. Also, we formulate certain <i>k</i>-uniformly convex starlike functions influenced by the principle of the differential subordinations. In addition, we derive coefficient bounds for various functions in the given classes of analytic functions and evaluate certain sufficiency criteria in a form of convolutions. Over and above, we derive interesting results involving starlike functions as well.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-01-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-025-01254-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01254-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
On k-uniformly starlike convex functions associated with (j, m)-ply symmetric points
In this paper, we aim to discuss several results associated with conical domains and some general properties. By utilizing some conical sections, we introduce a new class of analytic functions with respect to (j, m)-ply symmetric points, \(j=0,1,\ldots ,m-1\) and \(m \in \mathbb {N}\). Also, we formulate certain k-uniformly convex starlike functions influenced by the principle of the differential subordinations. In addition, we derive coefficient bounds for various functions in the given classes of analytic functions and evaluate certain sufficiency criteria in a form of convolutions. Over and above, we derive interesting results involving starlike functions as well.