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  • 标题:On ( h , q ) $(h,q)$ -Daehee numbers and polynomials
  • 本地全文:下载
  • 作者:Younghae Do ; Dongkyu Lim
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:107
  • DOI:10.1186/s13662-015-0445-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The p-adic q-integral (sometimes called q-Volkenborn integration) was defined by Kim. From p-adic q-integral equations, we can derive various q-extensions of Bernoulli polynomials and numbers. DS Kim and T Kim studied Daehee polynomials and numbers and their applications. Kim et al. introduced the q-analogue of Daehee numbers and polynomials which are called q-Daehee numbers and polynomials. Lim considered the modified q-Daehee numbers and polynomials which are different from the q-Daehee numbers and polynomials of Kim et al. In this paper, we consider ( h , q ) $(h,q)$ -Daehee numbers and polynomials and give some interesting identities. In case h = 0 $h=0$ , we cover the q-analogue of Daehee numbers and polynomials of Kim et al. In case h = 1 $h=1$ , we modify q-Daehee numbers and polynomials. We can find out various ( h , q ) $(h,q)$ -related numbers and polynomials which are studied by many authors.
  • 关键词:((h,q)) -Daehee numbers ; ((h,q)) -Daehee polynomials ; ((h,q)) -Bernoulli polynomials ; p -adic q -integral
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