Category Archives: Gamma Function

Properties of Gamma Function

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Gamma Function

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Crude bound on Gamma constant

Let’s take the left sum   and the right sum 

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Prove that Gamma(x) = x Gamma(x)

I will here go over both the proofs Integration method: Use integration by parts on The 2nd method is using the Euler’s definition

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What is Gamma Function ?

The basic definition of The 2nd form is easily obtained by substituting Euler defined another way One can use any of these forms to prove the formula and which eventually gives

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Digamma and gamma constant

There is a relation between and

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Gamma(1/2) = sqrt(pi)

To prove this let’s start with the basic idea We already know Thus Put we get

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Euler Mascheroni Constant

This is given by . Nobody yet knows if this is an algebraic or trancedental Here is a new Numberphile video which talks about it

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