由 Ruscheweyh 微分算子 q-analogue 定义的某类解析函数

Studia Universitatis Babes-Bolyai Matematica Pub Date : 2024-03-15 DOI:10.24193/subbmath.2024.1.03

M. Aouf, A. Moustafa, Fawziah Al-Quhali

{"title":"由 Ruscheweyh 微分算子 q-analogue 定义的某类解析函数","authors":"M. Aouf, A. Moustafa, Fawziah Al-Quhali","doi":"10.24193/subbmath.2024.1.03","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain coefficient estimates, distortion theorems, radii of close-to-convexity, starlikeness and convexity for functions belonging to the class of analytic starlike and convex functions defined by q−analogue of Ruscheweyh differential operator. Also we find closure theorems, Nk,q,δ (e, g) neighborhood and partial sums for functions in this class.\nMathematics Subject Classification (2010): 30C45.\nReceived 07 June 2020; Accepted 06 August 2020","PeriodicalId":517948,"journal":{"name":"Studia Universitatis Babes-Bolyai Matematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Certain class of analytic functions defined by q-analogue of Ruscheweyh differential operator\",\"authors\":\"M. Aouf, A. Moustafa, Fawziah Al-Quhali\",\"doi\":\"10.24193/subbmath.2024.1.03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we obtain coefficient estimates, distortion theorems, radii of close-to-convexity, starlikeness and convexity for functions belonging to the class of analytic starlike and convex functions defined by q−analogue of Ruscheweyh differential operator. Also we find closure theorems, Nk,q,δ (e, g) neighborhood and partial sums for functions in this class.\\nMathematics Subject Classification (2010): 30C45.\\nReceived 07 June 2020; Accepted 06 August 2020\",\"PeriodicalId\":517948,\"journal\":{\"name\":\"Studia Universitatis Babes-Bolyai Matematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Studia Universitatis Babes-Bolyai Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24193/subbmath.2024.1.03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Universitatis Babes-Bolyai Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/subbmath.2024.1.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们得到了属于由 Ruscheweyh 微分算子的 q-analogue 定义的解析星状和凸函数类的函数的系数估计、变形定理、接近凸半径、星状性和凸性。此外，我们还发现了该类函数的闭包定理、Nk,q,δ (e, g) 邻域和偏和：30C45.2020 年 6 月 7 日收到；2020 年 8 月 6 日接受

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Certain class of analytic functions defined by q-analogue of Ruscheweyh differential operator

In this paper, we obtain coefficient estimates, distortion theorems, radii of close-to-convexity, starlikeness and convexity for functions belonging to the class of analytic starlike and convex functions defined by q−analogue of Ruscheweyh differential operator. Also we find closure theorems, Nk,q,δ (e, g) neighborhood and partial sums for functions in this class. Mathematics Subject Classification (2010): 30C45. Received 07 June 2020; Accepted 06 August 2020

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Studia Universitatis Babes-Bolyai Matematica

自引率

0.00%

发文量