Binet's Formula
Click on the image for a detailed proof
\log\Gamma(s)=\left(s-\frac{1}{2}\right)\log s-s+\frac{1}{2}\log(2\pi)+\int_{0}^{\infty}\left(\frac{1}{2}-\frac{1}{t}+\frac{1}{e^t-1}\right)\frac{e^{-ts}}{t}\mathrm{d}t
Examining a function’s logarithm can be beneficial when studying it. Therefore, formulas that calculate the logarithm of known functions are handy.
Binet’s formula serves as an excellent example!
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!
