Application of Unspecified Sequences in Symbolic Summation

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Abstract

We consider symbolic sums which contain subexpressions that represent unspecified sequences. Existing symbolic summation technology is extended to sums of this kind. We show how this can be applied in the systematic search for general summation identities. Both, results about the non-existence of identities of a certain form, and examples of general families of identities which we have discovered automatically are included in the paper.
Original languageEnglish
Title of host publicationProceedings of ISSAC'06
Editors Jean-Guillaume Dumas
PublisherACM Press
Pages177-183
Number of pages7
Publication statusPublished - 2006

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

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