{"title":"由q导数算子定义的p价调和函数类","authors":"T. M. Seoudy","doi":"10.1007/s13370-023-01129-6","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of <span>\\( p- \\)</span>valent harmonic functions defined by <span>\\(q-\\)</span>derivative operator. Some of our results improve and generalize previously known results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Classes of p-valent harmonic functions defined by q-derivative operator\",\"authors\":\"T. M. Seoudy\",\"doi\":\"10.1007/s13370-023-01129-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of <span>\\\\( p- \\\\)</span>valent harmonic functions defined by <span>\\\\(q-\\\\)</span>derivative operator. Some of our results improve and generalize previously known results.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-11-13\",\"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/s13370-023-01129-6\",\"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/s13370-023-01129-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Classes of p-valent harmonic functions defined by q-derivative operator
In this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of \( p- \)valent harmonic functions defined by \(q-\)derivative operator. Some of our results improve and generalize previously known results.
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