{"title":"调和数和与q-类似物","authors":"Xiaoyuan Wang, W. Chu","doi":"10.1080/23799927.2019.1570974","DOIUrl":null,"url":null,"abstract":"ABSTRACT By means of partial fraction decomposition, derivative operator and inverse series relations, some algebraic identities involving symmetric functions are established. As applications, they are specialized to several summation formulae containing harmonic numbers and q-harmonic numbers.","PeriodicalId":37216,"journal":{"name":"International Journal of Computer Mathematics: Computer Systems Theory","volume":"22 2","pages":"48 - 56"},"PeriodicalIF":0.9000,"publicationDate":"2019-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Harmonic number sums and q-analogues\",\"authors\":\"Xiaoyuan Wang, W. Chu\",\"doi\":\"10.1080/23799927.2019.1570974\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT By means of partial fraction decomposition, derivative operator and inverse series relations, some algebraic identities involving symmetric functions are established. As applications, they are specialized to several summation formulae containing harmonic numbers and q-harmonic numbers.\",\"PeriodicalId\":37216,\"journal\":{\"name\":\"International Journal of Computer Mathematics: Computer Systems Theory\",\"volume\":\"22 2\",\"pages\":\"48 - 56\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2019-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Computer Mathematics: Computer Systems Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/23799927.2019.1570974\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computer Mathematics: Computer Systems Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/23799927.2019.1570974","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
ABSTRACT By means of partial fraction decomposition, derivative operator and inverse series relations, some algebraic identities involving symmetric functions are established. As applications, they are specialized to several summation formulae containing harmonic numbers and q-harmonic numbers.
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