{"title":"关于知识或身份的结果的注释长在树上","authors":"Harvey D. Abramson","doi":"10.1016/S0021-9800(69)80066-9","DOIUrl":null,"url":null,"abstract":"<div><p>In this note a multinomial extension of a result of Knuth is presented which allows very simple proofs of complicated multinomial coefficient identities. Proofs are given of the “multinomial theorem” and of Hurwitz's generalization of Abel's identity, the latter a well-known generlization of the binomial theorem.</p></div>","PeriodicalId":100765,"journal":{"name":"Journal of Combinatorial Theory","volume":"7 4","pages":"Pages 371-373"},"PeriodicalIF":0.0000,"publicationDate":"1969-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0021-9800(69)80066-9","citationCount":"7","resultStr":"{\"title\":\"A note on a result of knuth or identities grow on trees\",\"authors\":\"Harvey D. Abramson\",\"doi\":\"10.1016/S0021-9800(69)80066-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this note a multinomial extension of a result of Knuth is presented which allows very simple proofs of complicated multinomial coefficient identities. Proofs are given of the “multinomial theorem” and of Hurwitz's generalization of Abel's identity, the latter a well-known generlization of the binomial theorem.</p></div>\",\"PeriodicalId\":100765,\"journal\":{\"name\":\"Journal of Combinatorial Theory\",\"volume\":\"7 4\",\"pages\":\"Pages 371-373\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1969-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0021-9800(69)80066-9\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Combinatorial Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021980069800669\",\"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 Combinatorial Theory","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021980069800669","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A note on a result of knuth or identities grow on trees
In this note a multinomial extension of a result of Knuth is presented which allows very simple proofs of complicated multinomial coefficient identities. Proofs are given of the “multinomial theorem” and of Hurwitz's generalization of Abel's identity, the latter a well-known generlization of the binomial theorem.
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