{"title":"研究带有扬诺夫斯基函数的 q-Ruscheweyeh 衍生物时的 q 微积分和卷积技术","authors":"K. Marimuthu, Nasir Ali","doi":"arxiv-2408.13261","DOIUrl":null,"url":null,"abstract":"In this paper, we use concept of q-calculus and technique of convolution to\nstudy the q-Ruscheweyeh derivative by the concept of Janowski function, then we\ndefine new Subclass of analytic functions. Coefficients Estimates, radii of\nstarlikeness, close to convexity, extreme points and many interesting\nproperties are investigate, obtained and studied.","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"58 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"q-Calculus and Convolution Techniques in the Study Of q-Ruscheweyeh Derivatives With Janowski Functions\",\"authors\":\"K. Marimuthu, Nasir Ali\",\"doi\":\"arxiv-2408.13261\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we use concept of q-calculus and technique of convolution to\\nstudy the q-Ruscheweyeh derivative by the concept of Janowski function, then we\\ndefine new Subclass of analytic functions. Coefficients Estimates, radii of\\nstarlikeness, close to convexity, extreme points and many interesting\\nproperties are investigate, obtained and studied.\",\"PeriodicalId\":501502,\"journal\":{\"name\":\"arXiv - MATH - General Mathematics\",\"volume\":\"58 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - General Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.13261\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.13261","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
q-Calculus and Convolution Techniques in the Study Of q-Ruscheweyeh Derivatives With Janowski Functions
In this paper, we use concept of q-calculus and technique of convolution to
study the q-Ruscheweyeh derivative by the concept of Janowski function, then we
define new Subclass of analytic functions. Coefficients Estimates, radii of
starlikeness, close to convexity, extreme points and many interesting
properties are investigate, obtained and studied.
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