Oqlah Al-Refai, Ala Amourah, Tariq Al-Hawary, Basem Aref Frasin
{"title":"A New Method for Estimating General Coefficients to Classes of Bi-univalent Functions","authors":"Oqlah Al-Refai, Ala Amourah, Tariq Al-Hawary, Basem Aref Frasin","doi":"10.1155/2024/9889253","DOIUrl":null,"url":null,"abstract":"This study establishes a new method to investigate bounds of <span><svg height=\"12.5794pt\" style=\"vertical-align:-3.29107pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 18.1261 12.5794\" width=\"18.1261pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,3.419,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,9.412,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,14.559,0)\"><use xlink:href=\"#g113-9\"></use></g></svg>;</span> <span><svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 22.3 11.5564\" width=\"22.3pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,4.498,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,14.669,0)\"></path></g></svg><span></span><span><svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"25.8821838 -9.28833 11.235 11.5564\" width=\"11.235pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,25.932,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,32.458,0)\"></path></g></svg>,</span></span> for certain general classes of bi-univalent functions. The results include a number of improvements and generalizations for well-known estimations. We also discuss bounds of <svg height=\"15.535pt\" style=\"vertical-align:-3.9436pt\" version=\"1.1\" viewbox=\"-0.0498162 -11.5914 64.2012 15.535\" width=\"64.2012pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-9\"></use></g><g transform=\"matrix(.013,0,0,-0.013,3.419,0)\"><use xlink:href=\"#g113-111\"></use></g><g transform=\"matrix(.013,0,0,-0.013,9.945,0)\"><use xlink:href=\"#g113-98\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,16.525,-5.741)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,15.938,3.784)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,24.377,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,34.914,0)\"><use xlink:href=\"#g113-98\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,40.907,3.132)\"><use xlink:href=\"#g50-51\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,45.339,3.132)\"><use xlink:href=\"#g50-111\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,49.998,3.132)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,55.558,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,60.559,0)\"><use xlink:href=\"#g113-9\"></use></g></svg> and consider several corollaries, remarks, and consequences of the results presented in this paper.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1155/2024/9889253","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This study establishes a new method to investigate bounds of ;, for certain general classes of bi-univalent functions. The results include a number of improvements and generalizations for well-known estimations. We also discuss bounds of and consider several corollaries, remarks, and consequences of the results presented in this paper.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.