{"title":"几个简单零的亚纯函数的一个改进不等式","authors":"Zhang Qing-de","doi":"10.1142/9789812773159_0033","DOIUrl":null,"url":null,"abstract":"Suppose that f(z) is a non-constant meromorphic function in the complex plane satisfying N_(1))(r,f)=S(r,f) and d is a non-zero constant.Then the author proves thatT(r,f)11N(r,f)+11N(r,f′+df-1)+S(r,f),except that f(z) is one of the following forms:(i) Ae~(-dz);(ii) d(Ae~(-dz)+1)~2;(iii) d(Ae~(-2z)-1)~2;(iv) Ae~(dz)(e~(-dz)+2dA)~2,where A is a non-zero constant.","PeriodicalId":17032,"journal":{"name":"Journal of Sichuan University","volume":"16 1","pages":"320-327"},"PeriodicalIF":0.0000,"publicationDate":"2006-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Improved Inequality for Meromorphic Functions with Few Simple Zeros\",\"authors\":\"Zhang Qing-de\",\"doi\":\"10.1142/9789812773159_0033\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Suppose that f(z) is a non-constant meromorphic function in the complex plane satisfying N_(1))(r,f)=S(r,f) and d is a non-zero constant.Then the author proves thatT(r,f)11N(r,f)+11N(r,f′+df-1)+S(r,f),except that f(z) is one of the following forms:(i) Ae~(-dz);(ii) d(Ae~(-dz)+1)~2;(iii) d(Ae~(-2z)-1)~2;(iv) Ae~(dz)(e~(-dz)+2dA)~2,where A is a non-zero constant.\",\"PeriodicalId\":17032,\"journal\":{\"name\":\"Journal of Sichuan University\",\"volume\":\"16 1\",\"pages\":\"320-327\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Sichuan University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/9789812773159_0033\",\"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 Sichuan University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789812773159_0033","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Improved Inequality for Meromorphic Functions with Few Simple Zeros
Suppose that f(z) is a non-constant meromorphic function in the complex plane satisfying N_(1))(r,f)=S(r,f) and d is a non-zero constant.Then the author proves thatT(r,f)11N(r,f)+11N(r,f′+df-1)+S(r,f),except that f(z) is one of the following forms:(i) Ae~(-dz);(ii) d(Ae~(-dz)+1)~2;(iii) d(Ae~(-2z)-1)~2;(iv) Ae~(dz)(e~(-dz)+2dA)~2,where A is a non-zero constant.
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