{"title":"关于与$(p,q)$-Lucas多项式和$\\rho+i\\neneneba xi阶bi-Bazilevic型函数有关的一个新的双一价函数子类$","authors":"H. Orhan, İ. Aktaş, H. Arikan","doi":"10.55730/1300-0098.3348","DOIUrl":null,"url":null,"abstract":": Using ( p, q ) -Lucas polynomials and bi-Bazilevic̆ type functions of order ρ + iξ, we defined a new subclass of biunivalent functions. We obtained coefficient inequalities for functions belonging to the new subclass. In addition to these results, the upper bound for the Fekete-Szegö functional was obtained. Finally, for some special values of parameters, several corollaries were presented","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On a new subclass of biunivalent functions associated with the $(p,q)$-Lucas polynomials and bi-Bazilevic type functions of order $\\\\rho+i\\\\xi$\",\"authors\":\"H. Orhan, İ. Aktaş, H. Arikan\",\"doi\":\"10.55730/1300-0098.3348\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": Using ( p, q ) -Lucas polynomials and bi-Bazilevic̆ type functions of order ρ + iξ, we defined a new subclass of biunivalent functions. We obtained coefficient inequalities for functions belonging to the new subclass. In addition to these results, the upper bound for the Fekete-Szegö functional was obtained. Finally, for some special values of parameters, several corollaries were presented\",\"PeriodicalId\":51206,\"journal\":{\"name\":\"Turkish Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Turkish Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.55730/1300-0098.3348\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.55730/1300-0098.3348","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
On a new subclass of biunivalent functions associated with the $(p,q)$-Lucas polynomials and bi-Bazilevic type functions of order $\rho+i\xi$
: Using ( p, q ) -Lucas polynomials and bi-Bazilevic̆ type functions of order ρ + iξ, we defined a new subclass of biunivalent functions. We obtained coefficient inequalities for functions belonging to the new subclass. In addition to these results, the upper bound for the Fekete-Szegö functional was obtained. Finally, for some special values of parameters, several corollaries were presented
期刊介绍:
The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research
Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics.
Contribution is open to researchers of all nationalities.