{"title":"用广义 (p,q)- 伯纳德积分算子定义的新一类多价函数","authors":"Iqbal Ali Hasoon, Najah Ali Jiben Al-Ziadi","doi":"10.34198/ejms.14424.10911118","DOIUrl":null,"url":null,"abstract":"Making use of the generalized $(p, q)$-Bernardi integral operator, we introduce and study a new class $\\mathcal{F J}_{p, q}^m(\\alpha, \\delta, \\lambda, \\gamma)$ of multivalent analytic functions with negative coefficients in the open unit disk $E$. Several geometric characteristics are obtained, like, coefficient estimate, radii of convexity, close-to-convexity and starlikeness, closure theorems, extreme points, integral means inequalities, neighborhood property and convolution properties for functions belonging to the class $\\mathcal{F} \\mathcal{J}_{p, q}^m(\\alpha, \\delta, \\lambda, \\gamma)$.","PeriodicalId":507233,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Class of Multivalent Functions Defined by Generalized (p,q)-Bernard Integral Operator\",\"authors\":\"Iqbal Ali Hasoon, Najah Ali Jiben Al-Ziadi\",\"doi\":\"10.34198/ejms.14424.10911118\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Making use of the generalized $(p, q)$-Bernardi integral operator, we introduce and study a new class $\\\\mathcal{F J}_{p, q}^m(\\\\alpha, \\\\delta, \\\\lambda, \\\\gamma)$ of multivalent analytic functions with negative coefficients in the open unit disk $E$. Several geometric characteristics are obtained, like, coefficient estimate, radii of convexity, close-to-convexity and starlikeness, closure theorems, extreme points, integral means inequalities, neighborhood property and convolution properties for functions belonging to the class $\\\\mathcal{F} \\\\mathcal{J}_{p, q}^m(\\\\alpha, \\\\delta, \\\\lambda, \\\\gamma)$.\",\"PeriodicalId\":507233,\"journal\":{\"name\":\"Earthline Journal of Mathematical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Earthline Journal of Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.34198/ejms.14424.10911118\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Earthline Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.34198/ejms.14424.10911118","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New Class of Multivalent Functions Defined by Generalized (p,q)-Bernard Integral Operator
Making use of the generalized $(p, q)$-Bernardi integral operator, we introduce and study a new class $\mathcal{F J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$ of multivalent analytic functions with negative coefficients in the open unit disk $E$. Several geometric characteristics are obtained, like, coefficient estimate, radii of convexity, close-to-convexity and starlikeness, closure theorems, extreme points, integral means inequalities, neighborhood property and convolution properties for functions belonging to the class $\mathcal{F} \mathcal{J}_{p, q}^m(\alpha, \delta, \lambda, \gamma)$.