Relation to the Logarithmic Function
\int_{x}^{x+1}\frac{\Gamma'(s)}{\Gamma(s)}ds=\log x
\Downarrow
\int_{1}^{n+1}\frac{\Gamma'(s)}{\Gamma(s)}ds=\log(n!)
This Relation between the Gamma Function and the classic Logarithmic Function is simple yet fascinating.
It makes use of the concept of Logarithmic Derivative, which is very common in Complex Analysis.
Any questions?
Feel free to contact our authors at: [email protected], you will be put directly in touch with the person who wrote the text.
Didn’t find what you were looking for? Keep looking through all our formulas regarding the Gamma Function!
