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Question Number 63447 by minh2001 last updated on 04/Jul/19
How to calculate ⌈(n)   using gamma function  ∀n∈R
Howtocalculate(n)usinggammafunctionnR
Commented by minh2001 last updated on 04/Jul/19
I can′t remember it until   now
Icantrememberituntilnow
Commented by mathmax by abdo last updated on 04/Jul/19
we have Γ(x)=∫_0 ^∞  t^(x−1) e^(−t)  dt for x>0 ⇒Γ(n)=∫_0 ^∞  t^(n−1) e^(−t)  dt  and
wehaveΓ(x)=0tx1etdtforx>0Γ(n)=0tn1etdtand
Answered by MJS last updated on 04/Jul/19
Γ(x)=∫_0 ^∞ t^(x−1) e^(−t) dt
Γ(x)=0tx1etdt

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