{"title":"三个超越全函数的Fatou集的周期分量及其组成","authors":"Bishnu H Subedi, A. Singh","doi":"10.3126/jnms.v3i1.33002","DOIUrl":null,"url":null,"abstract":"We prove that there exist three different transcendental entire functions that can have infinite number of domains which lie in the different periodic component of each of these functions and their compositions.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Periodic Components of the Fatou Set of Three Transcendental Entire Functions and Their Compositions\",\"authors\":\"Bishnu H Subedi, A. Singh\",\"doi\":\"10.3126/jnms.v3i1.33002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove that there exist three different transcendental entire functions that can have infinite number of domains which lie in the different periodic component of each of these functions and their compositions.\",\"PeriodicalId\":401623,\"journal\":{\"name\":\"Journal of Nepal Mathematical Society\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nepal Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3126/jnms.v3i1.33002\",\"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 Nepal Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3126/jnms.v3i1.33002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Periodic Components of the Fatou Set of Three Transcendental Entire Functions and Their Compositions
We prove that there exist three different transcendental entire functions that can have infinite number of domains which lie in the different periodic component of each of these functions and their compositions.
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