Ali H. Maran, Abdul Rahman S. Juma, Raheam A. Al-Saphory
{"title":"Certain Subclass of Harmonic Multivalent Functions Defined by New Linear Operator","authors":"Ali H. Maran, Abdul Rahman S. Juma, Raheam A. Al-Saphory","doi":"arxiv-2408.08103","DOIUrl":null,"url":null,"abstract":"This current article aims to study a new subclass of meromorphic functions\nwith positive coefficients by reconstructing a new operator in the punctured\nopen disc. Also, some geometric properties are considered and investigated,\nsuch results as coefficient estimates, distortion and growth theorems, radius\nof starlikeness, convexity and close to convexity, extreme points, convex\nlinear combinations, neighbourhoods, and integral transforms for a new class.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"44 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.08103","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This current article aims to study a new subclass of meromorphic functions
with positive coefficients by reconstructing a new operator in the punctured
open disc. Also, some geometric properties are considered and investigated,
such results as coefficient estimates, distortion and growth theorems, radius
of starlikeness, convexity and close to convexity, extreme points, convex
linear combinations, neighbourhoods, and integral transforms for a new class.
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