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Old 2020-05-10, 06:31   #8
othermath
 
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May 2020

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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?
Γ(n+1) requires the use of an integral. My relationship is simpler.
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