gamma function properties
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Hello Dear,
◆ Gamma function -
Gamma function is an extension of the factorial function to complex numbers.
Γ(z) = ʃe^(-x).x^(z-1).dx
Properties of gamma function are as follows -
- Γ(n+1) = nΓ(n)
- Γ(n/2) = (n-1)!√π 2^(1-n) / (n-1/2)!
- Γ(1/2) = √π
- |Γ(ni)| = √[π/nsinh(πn)]
- Γ(1-n)Γ(n) = π / sin(πh)
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