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文章基本信息

  • 标题:Powersum formula for differential resolvents
  • 本地全文:下载
  • 作者:John Michael Nahay
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2004
  • 卷号:2004
  • DOI:10.1155/S0161171204210602
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We will prove that we can specialize the indeterminate α in a linear differential α-resolvent of a univariate polynomial over a differential field of characteristic zero to an integer q to obtain a q-resolvent. We use this idea to obtain a formula, known as the powersum formula, for the terms of the α-resolvent. Finally, we use the powersum formula to rediscover Cockle's differential resolvent of a cubic trinomial.
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