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The Gamma Function and (-1/2)!

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Michael Penn

We explore the gamma function as a generalization of the factorial. Further, we calculate Gamma(1/2) which would correspond to (1/2)!

http://www.michaelpenn.net
http://www.randolphcollege.edu/mathem...

posted by Lochutzenjo


The Gamma Function
The Gamma Function
what is half factorial? (1/2)!=? via. Gamma function
what is half factorial? (1/2)!=? via. Gamma function
Deriving the Gamma Function
Deriving the Gamma Function
Why is Pi here? | Half factorial without Gamma function #SoME3
Why is Pi here? | Half factorial without Gamma function #SoME3
a beautiful gamma function identity Legendre's duplication formula.
a beautiful gamma function identity Legendre's duplication formula.
Derivative of The Factorial Function
Derivative of The Factorial Function
extending the factorial (the Gamma function & the Pi function)
extending the factorial (the Gamma function & the Pi function)
Can we have negative factorial?
Can we have negative factorial?
Complex analysis: Gamma function
Complex analysis: Gamma function
Half factorial using the gamma function
Half factorial using the gamma function
What Is The Factorial Of 1/2? SURPRISING (1/2)! = (√π)/2
What Is The Factorial Of 1/2? SURPRISING (1/2)! = (√π)/2
The Gamma Function, its Properties, and Application to Bessel Functions
The Gamma Function, its Properties, and Application to Bessel Functions
The SAT Question Everyone Got Wrong
The SAT Question Everyone Got Wrong
I Found Out How to Differentiate Factorials!
I Found Out How to Differentiate Factorials!
What is the Gamma Function?
What is the Gamma Function?
Why do calculators get this wrong? (We don't know!)
Why do calculators get this wrong? (We don't know!)
a very nice differential equation
a very nice differential equation
What is the factorial of ½?
What is the factorial of ½?
Where did the Gamma Function come from?!?! (Full Derivation)
Where did the Gamma Function come from?!?! (Full Derivation)
The Gamma Function for Half Integer Values
The Gamma Function for Half Integer Values
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