{"title":"角域上亚纯函数导数的Nevanlinna五值定理","authors":"Ashok Rathod, Shreekant Patil","doi":"10.7153/jca-2022-20-01","DOIUrl":null,"url":null,"abstract":". In this paper, we fi rst obtain the famous Xiong Inequality for meromorphic functions in an angular domain and also generalise Nevanlinna’s fi ve-value theorem for derivatives of meromorphic functions by considering weaker assumptions of sharing fi ve values and small functions to partially sharing k ( (cid:2) 5 ) values and small functions in an angular domain. As a particular cases of our results, we deduce He Ping result in an angular domain.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nevanlinna's five-value theorem for derivatives of meromorphic functions in an angular domain\",\"authors\":\"Ashok Rathod, Shreekant Patil\",\"doi\":\"10.7153/jca-2022-20-01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we fi rst obtain the famous Xiong Inequality for meromorphic functions in an angular domain and also generalise Nevanlinna’s fi ve-value theorem for derivatives of meromorphic functions by considering weaker assumptions of sharing fi ve values and small functions to partially sharing k ( (cid:2) 5 ) values and small functions in an angular domain. As a particular cases of our results, we deduce He Ping result in an angular domain.\",\"PeriodicalId\":73656,\"journal\":{\"name\":\"Journal of classical analysis\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of classical analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/jca-2022-20-01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of classical analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/jca-2022-20-01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nevanlinna's five-value theorem for derivatives of meromorphic functions in an angular domain
. In this paper, we fi rst obtain the famous Xiong Inequality for meromorphic functions in an angular domain and also generalise Nevanlinna’s fi ve-value theorem for derivatives of meromorphic functions by considering weaker assumptions of sharing fi ve values and small functions to partially sharing k ( (cid:2) 5 ) values and small functions in an angular domain. As a particular cases of our results, we deduce He Ping result in an angular domain.