Deriving The Gamma Function Deriving The Gamma Function

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Ever wondered what the factorial of a non-integer like 1.5 is? In this video, we explore how the The integral at the start of the video should say e^(-x), not e^(-nx). Sorry! Also, apologies for the screen flickering that happens ... Question 7 from Tom Rocks Maths and I Love Mathematics - answering the questions sent in and voted for by YOU. This time ... Have you ever wondered what ½ factorial or π factorial means? In this video, we take a deep mathematical journey—starting from ... The usual definition for a factorial only works for positive whole numbers, but how can we take the factorial of any number? This definite integral could not be evaluated using the integration techniques learned in calculus2. I showed that the problem ...

Feynman Academy course: Chapters 1 and 2 are free. Chapter 3 and beyond ...

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Gamma Function - Explained
Intro to the Gamma Function
Proof of Euler's Integral Formula (Gamma Function)
What is the Gamma Function?
The Marvelous Leap From Factorial To The Gamma Function
The Mystery Behind This Math Miracle
The Beautiful Derivation of the Gamma Function
How to Take the Factorial of Any Number
Introduction to the Gamma function & the Pi function (extending the factorial!)
Invoking the Gamma Function
The Gamma Distribution
How to use the Gamma Function for Integration!

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Last Updated: June 8, 2026

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