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 usual definition for a factorial only works for positive whole numbers, but how can we take the factorial of any number? 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 ... This turns out to be a very important function, known as the Have you ever wondered what ½ factorial or π factorial means? In this video, we take a deep mathematical journey—starting from ...

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Where did the Gamma Function come from?!?! (Full Derivation) Wealth
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Introduction to the Gamma function & the Pi function (extending the factorial!)
Proof of Euler's Integral Formula (Gamma Function)
ONE NEAT PROOF! Deriving the EULER DEFINITION of the Gamma Function!
What is the Gamma Function?
The Mystery Behind This Math Miracle
How to Take the Factorial of Any Number
The Marvelous Leap From Factorial To The Gamma Function
The Beautiful Derivation of the Gamma Function
ADVANCED Gamma Function for beginners

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Last Updated: June 14, 2026

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What is the Gamma Function?

Question 7 from Tom Rocks Maths and I Love Mathematics - answering the questions sent in and voted for by YOU. This...