{"title":"关于分歧的注释","authors":"I. Gavrea, M. Ivan","doi":"10.2298/PIM1512147G","DOIUrl":null,"url":null,"abstract":"We obtain a new recurrence formula for sequences of divided differences. In a \n particular case, the recurrence formula simplifies the classical \n Newton-Girard identities relating power sums and elementary symmetric \n polynomials.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"A note on divided differences\",\"authors\":\"I. Gavrea, M. Ivan\",\"doi\":\"10.2298/PIM1512147G\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We obtain a new recurrence formula for sequences of divided differences. In a \\n particular case, the recurrence formula simplifies the classical \\n Newton-Girard identities relating power sums and elementary symmetric \\n polynomials.\",\"PeriodicalId\":416273,\"journal\":{\"name\":\"Publications De L'institut Mathematique\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Publications De L'institut Mathematique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/PIM1512147G\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM1512147G","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We obtain a new recurrence formula for sequences of divided differences. In a
particular case, the recurrence formula simplifies the classical
Newton-Girard identities relating power sums and elementary symmetric
polynomials.