Y. Hamayun, N. Ullah, R. Khan, Kh. Ahmad, M. Gh. Khan, B. Khan
{"title":"第三种汉克尔行列式的q -模拟对称星形连接到q -指数函数","authors":"Y. Hamayun, N. Ullah, R. Khan, Kh. Ahmad, M. Gh. Khan, B. Khan","doi":"10.22436/jnsa.016.04.01","DOIUrl":null,"url":null,"abstract":"By making use of the concept of basic (or q -) calculus, a subclass of q -starlike functions with reference to symmetric points, which is associated with the q -exponential function, is introduced in the open unit disc. Further, we derived upper bounds for the third-order Hankel determinant for the defined class. For the validity of our results, relevant connections with those in earlier works are also pointed out","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Third Hankel determinant for q -analogue of symmetric starlike connected to q -exponential function\",\"authors\":\"Y. Hamayun, N. Ullah, R. Khan, Kh. Ahmad, M. Gh. Khan, B. Khan\",\"doi\":\"10.22436/jnsa.016.04.01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By making use of the concept of basic (or q -) calculus, a subclass of q -starlike functions with reference to symmetric points, which is associated with the q -exponential function, is introduced in the open unit disc. Further, we derived upper bounds for the third-order Hankel determinant for the defined class. For the validity of our results, relevant connections with those in earlier works are also pointed out\",\"PeriodicalId\":22770,\"journal\":{\"name\":\"The Journal of Nonlinear Sciences and Applications\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Journal of Nonlinear Sciences and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/jnsa.016.04.01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Nonlinear Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/jnsa.016.04.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Third Hankel determinant for q -analogue of symmetric starlike connected to q -exponential function
By making use of the concept of basic (or q -) calculus, a subclass of q -starlike functions with reference to symmetric points, which is associated with the q -exponential function, is introduced in the open unit disc. Further, we derived upper bounds for the third-order Hankel determinant for the defined class. For the validity of our results, relevant connections with those in earlier works are also pointed out