The Definition of the Gamma function

The gamma function is often an ignored concept in mathematics. In algebra, you will most likely be informed what a factorial is, but never really use the factorial to its full extent. Common applications of the factorial include the binomial expansion, Maclaurin and Taylor series, further combinatorics such as multisets, or even in permutation matrices.
Of course, you may have not heard of some of these applications, although the purpose is to provide an insight to what the factorial could do, namely what the gamma function could do. You enter a new realm of math. When you really immerse yourself into the essence of the Gamma function, you'll be able to unlock many other topics concealed within the ancient bookshelves of mathematics (there's even something called the Beta function).
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#maths #gamma #logic #calculus #multivariateanalysis #doubleintegration #science

[@SantosAdducci]

I've never seen this, very cool !!

[@SantosAdducci]

I'm excited to see more of your videos !! 🗣️🗣️🗣️

[@WilliamTu-]

@@SantosAdducciI really appreciate your kind words! Your support is my motivation :)

[@Mathematica702]

You gotta make more videos. I’m gonna watch this on my television. Looking forward to more good stuff.

[@WilliamTu-]

Will do! I really appreciate your kind words!

[@ANIMEPLANET-t4n]

your video is very good. i understood it all thanks for your hard work

[@WilliamTu-]

Thanks a lot! I am soooo happy you understood what I said since this is my first time making educational vids :)

[@samsunnahar9175]

THANKS A LOT FOR EXCELLENT VIDEO!!

[@WilliamTu-]

Really appreciate it! I've currently been busy but will post my next video within the week!

[@egaragewebapp3265]

Very good explanation 👀

[@WilliamTu-]

Thanks a lot! More videos coming up and plz let me know what you think!

[@matthewhuang7695]

w man bro almost my level

[@WilliamTu-]

Thank you very much for your support!

[@cosimo7770]

Maths with passion.

[@WilliamTu-]

Thanks a lot! Rly appreciate it.

[@JoeZhang-wj3iq]

听不懂不好意思

[@u2ube210]

how you plotted the factorial fn vs exponential fn graph?

[@WilliamTu-]

It was an animation used and edited by one of my friend! I guess it have to do with simple curve and wasn't particularly to scale, but hopefully you got what I was trying to convey!

[@egaragewebapp3265]

@@WilliamTu- It was understandable animation, Nice work 🎉