sign(0) - Wolfram|Alpha

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Input

sgn(0)

Result

Number line

Number line

Number name

zero

Alternative representation

sgn(0) = 0

sgn(0) = ((i Im(0) + Re(0))/sqrt(Im(0)^2 + Re(0)^2) = (i Im(0) + Re(0))/sqrt(Im(0)^2 + Re(0)^2))

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Integral representation

sgn(0) = 1/(i π) integral_(-i ∞ + γ)^(i ∞ + γ) Γ(-s)/Γ(1 - s) ds for 0<γ

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