Die Formeln von Wallis und Stirling
Adalbert Duschek
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Adalbert Duschek: Technischen Hochschule Wien
Chapter § 23 in Vorlesungen über höhere Mathematik, 1956, pp 246-251 from Springer
Abstract:
Zusammenfassung Ich knüpfe an die Integralformeln (8) und (9) von § 14, 4 an. Dividieren wir die erste durch die zweite, so folgt % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbWexLMBbXgBd9gzLbvyNv2CaeHbl7mZLdGeaGqiVu0Je9sqqr % pepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs % 0-yqaqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaai % aabeqaamaabaabauaakeaadaWcaaqaaiabec8aWbqaaiaaikdaaaGa % eyypa0ZaaSaaaeaacaaIYaGaeyyXICTaaGOmaiabgwSixlaaisdacq % GHflY1caaI0aGaeS47IWKaaGOmaiaad6gacqGHflY1caaIYaGaamOB % aaqaaiaaigdacqGHflY1caaIZaGaeyyXICTaaG4maiabgwSixlaaiw % dacqWIVlctdaqadaqaaiaaikdacaWGUbGaeyOeI0IaaGymaaGaayjk % aiaawMcaamaabmaabaGaaGOmaiaad6gacqGHRaWkcaaIXaaacaGLOa % GaayzkaaaaaiabgwSixpaalaaabaGaamOsamaaBaaaleaacaaIYaGa % amOBaaqabaaakeaacaWGkbWaaSbaaSqaaiaaikdacaWGUbGaey4kaS % IaaGymaaqabaaaaaaa!72F0! $$\frac{\pi }{2} = \frac{{2 \cdot 2 \cdot 4 \cdot 4 \cdots 2n \cdot 2n}}{{1 \cdot 3 \cdot 3 \cdot 5 \cdots \left( {2n - 1} \right)\left( {2n + 1} \right)}} \cdot \frac{{{J_{2n}}}}{{{J_{2n + 1}}}}$$ .
Date: 1956
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-3556-3_24
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DOI: 10.1007/978-3-7091-3556-3_24
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