Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
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Publication:2651665
DOI10.1007/BF01361114zbMath0055.08404OpenAlexW1971102216MaRDI QIDQ2651665
Publication date: 1954
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/160366
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Cites Work
