Closed Form for Complex Gamma Function

[thatboi]

Hey all,
I was wondering if there was an equivalent closed form expression for $\Gamma(\frac{1}{2}+ib)$ where $b$ is a real number.
I came across the following answer:
https://mathoverflow.net/questions/...T2*MTY2NzI2MTI3OS4xLjEuMTY2NzI2MTQyOC4wLjAuMA..
but was wondering where I could find more information on this.

 

[mcastillo356]

Hi, @thatboi, Wikipedia could be worth browsing?. Personally, Stack Exchange is too...Complex ,for me.
Some other suggestions: Khan Academy. You've found the solution. This is the path:

$$\Gamma (x)=\int_0^{\infty}t^{x-1}e^{-t}dt$$

PF, please check the LaTeX.

Love, peace