Media Summary: Ever wondered what the factorial of a non-integer like 1.5 is? In this video, we explore how Question 7 from Tom Rocks Maths and I Love Mathematics - answering the questions sent in and voted for by YOU. This time ... The usual definition for a factorial only works for positive whole numbers, but how can we take the factorial of any number?
The Gamma Function Why Is - Detailed Analysis & Overview
Ever wondered what the factorial of a non-integer like 1.5 is? In this video, we explore how Question 7 from Tom Rocks Maths and I Love Mathematics - answering the questions sent in and voted for by YOU. This time ... The usual definition for a factorial only works for positive whole numbers, but how can we take the factorial of any number? This turns out to be a very important function, known as Ben's companion video on their channel here! It's This definite integral could not be evaluated using the integration techniques learned in calculus2. I showed that the problem ...
An intriguing and in-depth derivation of the notorious, yet spectacular, Is it possible to define (1/2)!? Can we define the factorial of non-integer values? As it turns out, we can! To do this we need to ...