On the summability of bivariate rational functions (Q403066)
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scientific article; zbMATH DE number 6335798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the summability of bivariate rational functions |
scientific article; zbMATH DE number 6335798 |
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On the summability of bivariate rational functions (English)
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29 August 2014
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It is given a criteria for deciding whether a bivariate rational function in two variables can be written as a sum of two (\(q\)-)differences of bivariate rational functions. As a consequence, a method for evaluation of certain double sums is presented in terms of single sums and in terms of values of special functions. The method of residues is used to give a unified approach to problems in the shift and \(q\)-shift cases while also identifying where these cases differ.
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Gosper algorithm
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summability
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double zeta values
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hypergeometric terms
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hypergeometric summability
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shift operators
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0.92270577
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0.9065753
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0.8937522
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0.8907473
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0.8867106
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0.88523626
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