{"title":"带权q-Bernoulli多项式的新推广","authors":"Jin-Woo Park","doi":"10.12988/ASTP.2014.4113","DOIUrl":null,"url":null,"abstract":"In this paper, we defined a new q-extension of Bernoulli polynomials with weight by generating function, and investigate several properties of those polynomials. These q-Bernoulli polynomials are useful to study various identities of Carlitz’s qBernoulli numbers.","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Extension of q-Bernoulli Polynomials with Weight\",\"authors\":\"Jin-Woo Park\",\"doi\":\"10.12988/ASTP.2014.4113\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we defined a new q-extension of Bernoulli polynomials with weight by generating function, and investigate several properties of those polynomials. These q-Bernoulli polynomials are useful to study various identities of Carlitz’s qBernoulli numbers.\",\"PeriodicalId\":127314,\"journal\":{\"name\":\"Advanced Studies in Theoretical Physics\",\"volume\":\"37 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advanced Studies in Theoretical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/ASTP.2014.4113\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Studies in Theoretical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/ASTP.2014.4113","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New Extension of q-Bernoulli Polynomials with Weight
In this paper, we defined a new q-extension of Bernoulli polynomials with weight by generating function, and investigate several properties of those polynomials. These q-Bernoulli polynomials are useful to study various identities of Carlitz’s qBernoulli numbers.
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