Addition theorems for the doubly periodic functions of the second kind. (Q2612264)
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scientific article
| Language | Label | Description | Also known as |
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| English | Addition theorems for the doubly periodic functions of the second kind. |
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Addition theorems for the doubly periodic functions of the second kind. (English)
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1935
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Verf. behandelt die aus den \textit{Jacobi}schen Thetafunktionen sich ergebende Funktion \[ \varPhi_{\alpha\beta\gamma} (x, y)=\frac{\vartheta^\prime_1\vartheta_\alpha(x+y)}{\vartheta_\alpha(x)\vartheta_ \gamma (y)}. \] Durch Anwendung des Additionstheorems der Thetafunktionen erhält er das Additionstheorem für \(\varPhi_{\alpha\beta\gamma} (x + u, y + v)\).
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