What is fr L(Gamma(z))? And how can it be derived? Gamma(z)=int_0^(oo) t^(z-1) e^t dt fr L(Gamma(z))=int_0^(oo) int_0^(oo) t^(z−1) e^t dt e^(-sz)dz

Sasha Hess

Sasha Hess

Answered question

2022-09-10

What is
L ( Γ ( z ) )
? And how can it be derived?
Γ ( z ) = 0 t z 1 e t d t
L ( Γ ( z ) ) = 0 0 t z 1 e t d t e s z d z
Yes, of course I tried to find on google but I could only find something like laplace transform using the gamma function, and inverse Laplace transform of gamma function, etc..

Answer & Explanation

ignaciopastorp6

ignaciopastorp6

Beginner2022-09-11Added 14 answers

You can't find it because it does not exist:
lim n n ! e a n = a R

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