{"title":"球面空间聚光镜保角容量的研究","authors":"E. Prilepkina","doi":"10.47910/femj202207","DOIUrl":null,"url":null,"abstract":"Condencers with spherical plates are considered, the radii of which depend on the parameter r. It is shown that the conformal capacity of such condencers is a multiplicatively convex function of r. As a corollary, it has been established that some special functions related to capacity have a similar property.","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the conformal capacity of a spatial condenser with spherical plates\",\"authors\":\"E. Prilepkina\",\"doi\":\"10.47910/femj202207\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Condencers with spherical plates are considered, the radii of which depend on the parameter r. It is shown that the conformal capacity of such condencers is a multiplicatively convex function of r. As a corollary, it has been established that some special functions related to capacity have a similar property.\",\"PeriodicalId\":388451,\"journal\":{\"name\":\"Dal'nevostochnyi Matematicheskii Zhurnal\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dal'nevostochnyi Matematicheskii Zhurnal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47910/femj202207\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dal'nevostochnyi Matematicheskii Zhurnal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47910/femj202207","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the conformal capacity of a spatial condenser with spherical plates
Condencers with spherical plates are considered, the radii of which depend on the parameter r. It is shown that the conformal capacity of such condencers is a multiplicatively convex function of r. As a corollary, it has been established that some special functions related to capacity have a similar property.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
