{"title":"Applications of Horadam polynomials on a new family of bi-prestarlike functions","authors":"Abbas Kareem Wanas, Ágnes Orsolya Páll-Szabó","doi":"10.18514/mmn.2023.3300","DOIUrl":null,"url":null,"abstract":". In this article, we introduce and investigate a new family of analytic and bi-prestarlike functions by using the Horadam polynomials defined in the open unit disk U . We determine upper bounds for the first two coefficients | a 2 | and | a 3 | and solve Fekete-Szeg˝o problem of functions that belong to this family. Also, we point out several certain special cases for our results.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":"106 1","pages":"0"},"PeriodicalIF":0.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Miskolc Mathematical Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18514/mmn.2023.3300","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. In this article, we introduce and investigate a new family of analytic and bi-prestarlike functions by using the Horadam polynomials defined in the open unit disk U . We determine upper bounds for the first two coefficients | a 2 | and | a 3 | and solve Fekete-Szeg˝o problem of functions that belong to this family. Also, we point out several certain special cases for our results.
期刊介绍:
Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.