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Is this entire expression for tetration legal

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Is this entire expression for tetration legal
cosurgi Offline
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01/20/2013, 07:32 PM
(12/10/2012, 03:43 PM)JmsNxn Wrote: With this we define \( \forall \omega, \nu \in \mathbb{C} \):

\( (\Gamma(\omega + 1) (^\omega e)^s) \times(\Gamma(\nu + 1) (^\nu e)^s) = \Gamma(\omega + \nu + 1) (^{\omega+ \nu } e)^s \)

I'm lost at this point. Why do you define tetetration to satisfy this equality? How do you know it's true?
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RE: Is this entire expression for tetration legal - by cosurgi - 01/20/2013, 07:32 PM

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