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文章基本信息

  • 标题:Recursive analytic functions of a complex variable
  • 本地全文:下载
  • 作者:Tobias Gärtner, Günter Hotz
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2001
  • 卷号:2001
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:We extend the concept of recursive definition on analytic functions. For special cases of linear primitive recursive definitions we show the existence of natural continuations of the over \N primitive recursive functions to analytic functions. Especially, we show that solutions exist if the coefficients of the linear recursive equation are rational functions. We also give criteria which lead to a unique continuation of a primitive recursive function.
  • 关键词:analytic , primitive recursion
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