Indefinite summation with unspecified summands |
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| Authors: | Manuel Kauers |
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| Institution: | Research Institute for Symbolic Computation, Johannes Kepler Universität, A-4040 Linz, Austria |
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| Abstract: | We provide a new algorithm for indefinite nested summation which is applicable to summands involving unspecified sequences x(n). More than that, we show how to extend Karr's algorithm to a general summation framework by which additional types of summand expressions can be handled. Our treatment of unspecified sequences can be seen as a first illustrative application of this approach. |
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| Keywords: | Combinatorial identities Symbolic summation Difference fields |
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