{"title":"广义Srivastava-Attiya算子的保留从属和上从属结果","authors":"M. Aouf, A. Mostafa, A. M. Shahin, S. Madian","doi":"10.7862/RF.2013.2","DOIUrl":null,"url":null,"abstract":"and let A (1) = A. For f ,F ∈ H(U), the function f(z) is said to be subordinate to F (z), or F (z) is superordinate to f(z), if there exists a function ω(z) analytic in U with ω(0) = 0 and |ω(z)| < 1(z ∈ U), such that f(z) = F (ω(z)). In such a case we write f(z) ≺ F (z). If F is univalent, then f(z) ≺ F (z) if and only if f(0) = F (0) and f(U) ⊂ F (U) (see [14] and [15]). Let φ : C×U → C and h (z) be univalent in U. If p (z) is analytic in U and satisfies the first order differential subordination:","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Preserving subordination and superordination results of generalized Srivastava-Attiya operator\",\"authors\":\"M. Aouf, A. Mostafa, A. M. Shahin, S. Madian\",\"doi\":\"10.7862/RF.2013.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"and let A (1) = A. For f ,F ∈ H(U), the function f(z) is said to be subordinate to F (z), or F (z) is superordinate to f(z), if there exists a function ω(z) analytic in U with ω(0) = 0 and |ω(z)| < 1(z ∈ U), such that f(z) = F (ω(z)). In such a case we write f(z) ≺ F (z). If F is univalent, then f(z) ≺ F (z) if and only if f(0) = F (0) and f(U) ⊂ F (U) (see [14] and [15]). Let φ : C×U → C and h (z) be univalent in U. If p (z) is analytic in U and satisfies the first order differential subordination:\",\"PeriodicalId\":345762,\"journal\":{\"name\":\"Journal of Mathematics and Applications\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7862/RF.2013.2\",\"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 Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/RF.2013.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Preserving subordination and superordination results of generalized Srivastava-Attiya operator
and let A (1) = A. For f ,F ∈ H(U), the function f(z) is said to be subordinate to F (z), or F (z) is superordinate to f(z), if there exists a function ω(z) analytic in U with ω(0) = 0 and |ω(z)| < 1(z ∈ U), such that f(z) = F (ω(z)). In such a case we write f(z) ≺ F (z). If F is univalent, then f(z) ≺ F (z) if and only if f(0) = F (0) and f(U) ⊂ F (U) (see [14] and [15]). Let φ : C×U → C and h (z) be univalent in U. If p (z) is analytic in U and satisfies the first order differential subordination: