Unification of the quintuple and septuple product identities (Q872722)
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scientific article; zbMATH DE number 5137999
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unification of the quintuple and septuple product identities |
scientific article; zbMATH DE number 5137999 |
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Unification of the quintuple and septuple product identities (English)
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28 March 2007
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Summary: By combining the functional equation method with Jacobi's triple product identity, we establish a general equation with five free parameters on the modified Jacobi theta function, which can be considered as the common generalization of the quintuple, sextuple and septuple product identities. Several known theta function formulae and new identities are consequently proved.
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Jacobi's triple product identity
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Jacobi theta function
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