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Approximate derivative of x!
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2020-05-10, 06:40
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retina
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"The unspeakable one"
Jun 2006
My evil lair
2
^{2}
×3
^{2}
×13
^{2}
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Quote:
Originally Posted by
Batalov
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.
retina
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