Remarks concerning the expansions of the hyperelliptic sigma-functions. (Q1513979)
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scientific article; zbMATH DE number 2665737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks concerning the expansions of the hyperelliptic sigma-functions. |
scientific article; zbMATH DE number 2665737 |
Statements
Remarks concerning the expansions of the hyperelliptic sigma-functions. (English)
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1900
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Es wird die partielle Differentialgleichung aufgestellt, welcher diejenigen \(\binom{2\varrho+1}{\varrho}\) \(\sigma\)-Functionen genügen, die Zerlegungen von \(R(x)\) in zwei Factoren \((\varrho+1)\)-ten Grades zugeordnet sind, und es werden daraus in den Fällen \(\varrho=1\) und \(\varrho=2\) Recursionsformeln für die Coefficienten der Potenzentwickelungen dieser Functionen abgeleitet.
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