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Determination of the value of the imaginary product \[ \prod_{n=1}^{n=\infty}\frac{n\; (n+1) + (1 + i)}{n\; (n+1) + (1 i)}. \]. (Bestimmung des Werthes des imaginären Products \[ \prod_{n=1}^{n=\infty}\frac{n\; (n+1) + (1 + i)}{n\; (n+1) + (1-i)}. \].) (German) JFM 08.0251.01
Der Verfasser weist nach, dass dieses Product den Werth \(i ( = \sqrt{-1})\) hat.
MSC:
30E99 Miscellaneous topics of analysis in the complex plane