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Old 2020-05-10, 06:40   #10
retina
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"The unspeakable one"
Jun 2006
My evil lair

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Quote:
Originally Posted by Batalov View Post
You are missing that n! = Γ(n+1) + sin(πn). Or Γ(n+1) + sin(π(n+1)); take your pick... Wikipedia is helpful to demonstrate that both are valid analytic continuations of the factorials to the non-integers.
Do Γ(n+1) and Γ(n+1) + sin(πn) have the same derivatives?
Thanks. Makes sense.
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