{"title":"复阶函数和高阶m-q-p价函数的邻域性质","authors":"Madian, Samar","doi":"10.1186/s42787-022-00149-8","DOIUrl":null,"url":null,"abstract":"In this paper, by using q-calculus (Jackson’s q-derivative) $$D_{q,p}$$ we defined new operator $$D_{\\lambda ,q,p}^{n}f^{(m)}(z)$$ . After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the $$N_{j,\\delta ,m}^{p,q}(f)$$ -neighborhood of these classes","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"36 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order\",\"authors\":\"Madian, Samar\",\"doi\":\"10.1186/s42787-022-00149-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, by using q-calculus (Jackson’s q-derivative) $$D_{q,p}$$ we defined new operator $$D_{\\\\lambda ,q,p}^{n}f^{(m)}(z)$$ . After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the $$N_{j,\\\\delta ,m}^{p,q}(f)$$ -neighborhood of these classes\",\"PeriodicalId\":33345,\"journal\":{\"name\":\"Journal of the Egyptian Mathematical Society\",\"volume\":\"36 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Egyptian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1186/s42787-022-00149-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Egyptian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1186/s42787-022-00149-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order
In this paper, by using q-calculus (Jackson’s q-derivative) $$D_{q,p}$$ we defined new operator $$D_{\lambda ,q,p}^{n}f^{(m)}(z)$$ . After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the $$N_{j,\delta ,m}^{p,q}(f)$$ -neighborhood of these classes