Expression of pi

I saw the expression of pi in an YouTube video by Presh Talwalkar ("MindYourDecisions").

The expression was 0.5!=root of pi by 2.

I saw the video yesterday and it kept my thinking going on. 

I tried to understand the concept. The concepts are of Gauss, beta and Gamma functions.

I kept learning and progressed ahead. 

Finally now I made another expression of pi.

It is (8/3)*(0.5!)*(1.5!)  = pi.

(No. I have not worked around with the earlier results to get this. I was following my own logic.). Here is the proof.

Try it out in your calculator.

My best wishes to all my blog post readers.