Introduction to the Productorial!!

Hi! Today we are going to look at the Productorial or Product. It's really similar to the summatory, but instead of summing we are taking products. We will see a bit about it and how it works with some simple examples, and in other videos we will look at more interesting examples, like a generalization of the products we will see in this video, products involving the Gamma Function, how to solve recurrence relations/difference equations using products, ...

As always, here are the time stamps of the video:
0:00 Introduction: What is the Productorial?
2:08 Some Properties of the Productorial: Sign of the product
8:10 Non-additivity of Products
8:58 Splitting a Product into 2 Products
10:10 Recurrence Relations/Difference Equations and Products
11:45 Important Products: n factorial, n!
13:45 Even Factorial, (2n)!
17:40 Odd Factorial, (2n - 1)!
21:05 Final Expressions for the factorials
21:10 What we will see in other videos

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Видео Introduction to the Productorial!! канала Sandro’s Space