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  • 标题:Sums of finite products of Chebyshev polynomials of the third and fourth kinds
  • 本地全文:下载
  • 作者:Taekyun Kim ; Dae San Kim ; Dmitry V. Dolgy
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:283
  • DOI:10.1186/s13662-018-1747-z
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study sums of finite products of Chebyshev polynomials of the third and fourth kinds and obtain Fourier series expansions of functions associated with them. Then from these Fourier series expansions we will be able to express those sums of finite products as linear combinations of Bernoulli polynomials and to have some identities from those expressions.
  • 关键词:Fourier series ; Chebyshev polynomials ; Sums of finite products of Chebyshev polynomials of the third and fourth kinds
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