On computing closed forms for indefinite summations (Q1318851)

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scientific article; zbMATH DE number 541174
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On computing closed forms for indefinite summations
scientific article; zbMATH DE number 541174

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    On computing closed forms for indefinite summations (English)
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    27 March 1994
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    A decision procedure for finding closed forms for indefinite summation of polynomials, rational functions, quasipolynomials and quasi rational functions is presented. It is extended for some non-hypergeometric sums with rational inputs not summable by means of Gosper's algorithm. It is accompanied by discussion of implementation, analysis of degree bounds and some illustrative examples.
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    Gosper's algorithm
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    indefinite summation of polynomials
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    quasipolynomials
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    quasi rational functions
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