{"title":"一类q-位移复微分差分方程组解的NEVANLINNA方法","authors":"A. Tanuja, S. Datta","doi":"10.46753/pjaa.2022.v09i02.005","DOIUrl":null,"url":null,"abstract":". The Nevanlinna theory of value distribution is used to investigate the existence of a meromorphic solution to a general system of q-shift complex differential-difference equations whose coefficients are small functions of the meromorphic function. Several limiting cases are reported in the study and an example is given to complement our result. A note is added about problems for which the method does not work.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"NEVANLINNA METHOD OF OBTAINING SOLUTION OF A SYSTEM OF q-SHIFT COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS\",\"authors\":\"A. Tanuja, S. Datta\",\"doi\":\"10.46753/pjaa.2022.v09i02.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The Nevanlinna theory of value distribution is used to investigate the existence of a meromorphic solution to a general system of q-shift complex differential-difference equations whose coefficients are small functions of the meromorphic function. Several limiting cases are reported in the study and an example is given to complement our result. A note is added about problems for which the method does not work.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Poincare Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46753/pjaa.2022.v09i02.005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2022.v09i02.005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
NEVANLINNA METHOD OF OBTAINING SOLUTION OF A SYSTEM OF q-SHIFT COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS
. The Nevanlinna theory of value distribution is used to investigate the existence of a meromorphic solution to a general system of q-shift complex differential-difference equations whose coefficients are small functions of the meromorphic function. Several limiting cases are reported in the study and an example is given to complement our result. A note is added about problems for which the method does not work.