- #1
rmiller70015
- 110
- 1
- Homework Statement
- Find Stirling's Approximation for ##[(\alpha - 1)!]^2##
- Relevant Equations
- For large N: ##log(N!) \approx Nlog(N)-N##
Using log identities:
##log((\alpha - 1)!^2) = 2(log(\alpha - 1)!)##
Then apply Stirling's Approximation
##(2[(\alpha - 1)log(\alpha - 1) - (\alpha - 1)##
## = 2(\alpha -1)log(\alpha -1) - 2\alpha+2##
Is this correct? I can't find a way to check this computationally.
##log((\alpha - 1)!^2) = 2(log(\alpha - 1)!)##
Then apply Stirling's Approximation
##(2[(\alpha - 1)log(\alpha - 1) - (\alpha - 1)##
## = 2(\alpha -1)log(\alpha -1) - 2\alpha+2##
Is this correct? I can't find a way to check this computationally.