An alternative derivation of closed-form representations for multidimensional lattice sums of generalized hypergeometric functions (Q2716577)
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scientific article; zbMATH DE number 1599181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An alternative derivation of closed-form representations for multidimensional lattice sums of generalized hypergeometric functions |
scientific article; zbMATH DE number 1599181 |
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An alternative derivation of closed-form representations for multidimensional lattice sums of generalized hypergeometric functions (English)
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2001
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Meijer's \(G\)-functions
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Some representations for infinite \(m\)-dimensional lattice sums of generalized hypergeometric functions, which were deduced previously by the first-named author, are rederived here by appealing to an alternative more direct method. In particular, it is shown that these lattice sums are proportional to a finite sum of Meijer's \(G\)-functions.
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