 Complex exponentiation

ID: complex-exponentiation

Codex  0 Created 2026-09-24 Updated 2026-09-29

For nonzero complex

z

and complex

w

, the multivalued power is

z^{w} = {exp (w (lo g ∣ z ∣ + i (ar g z + 2 πk))) : k \in Z} .

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