{"title":"某些类型费马型微分方程和差分方程的亚纯解","authors":"Yinhao Guo, Kai Liu","doi":"10.4064/ap221226-11-8","DOIUrl":null,"url":null,"abstract":"In this paper, we mainly consider the Fermat type differential equation $$f(z)^{n}+f’(z)^{n}=\\varphi (z),$$ where $\\varphi (z)=e^{h(z)}$ or $1-e^{2h(z)}$, and $h(z)$ is any entire function, and the Fermat type difference equation $$f(z)^{n}+f(z+c)^{m}=e^{","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Meromorphic solutions of Fermat type differential and difference equations of certain types\",\"authors\":\"Yinhao Guo, Kai Liu\",\"doi\":\"10.4064/ap221226-11-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we mainly consider the Fermat type differential equation $$f(z)^{n}+f’(z)^{n}=\\\\varphi (z),$$ where $\\\\varphi (z)=e^{h(z)}$ or $1-e^{2h(z)}$, and $h(z)$ is any entire function, and the Fermat type difference equation $$f(z)^{n}+f(z+c)^{m}=e^{\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/ap221226-11-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/ap221226-11-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Meromorphic solutions of Fermat type differential and difference equations of certain types
In this paper, we mainly consider the Fermat type differential equation $$f(z)^{n}+f’(z)^{n}=\varphi (z),$$ where $\varphi (z)=e^{h(z)}$ or $1-e^{2h(z)}$, and $h(z)$ is any entire function, and the Fermat type difference equation $$f(z)^{n}+f(z+c)^{m}=e^{