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Introduction to the Gamma function & the Pi function (extending the factorial!)

The usual definition for a factorial only works for positive whole numbers, but how can we take the factorial of any number? Here we will discuss the Pi Function which is defined in terms of an improper integral and it is also the cousin of the Gamma function. I also show the Pi function's properties, which helps extend the factorial. As a bonus, I also show why zero factorial is equal to 1. Read more: https://en.wikipedia.org/wiki/Factorial , Support this channel and get my math notes by becoming a patron:   / blackpenredpen   subscribe ‪@blackpenredpen‬