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Euler and the Gammafunction

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 Added by Alexander Aycock
 Publication date 2019
  fields
and research's language is English




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We review Eulers idea on the Gammafunction. We will explain, how Euler obtained them and how Eulers ideas anticipate more modern approaches and theories. Furthermore, some questions asked by Euler are answered.



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62 - Alexander Aycock 2019
We show that an apparently overlooked result of Euler from cite{E421} is essentially equivalent to the general multiplication formula for the $Gamma$-function that was proven by Gauss in cite{Ga28}.
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