Complex Dirichlet Eta Function


For Eta(x) with x.i == 0, use the real Eta(x.r) function.

See: Real Dirichlet Eta Function

For complex x, use the same method as the real function, but let the terms in the expansion take on complex values. The reflection formula is used if x.r < −4.

See: Dirichlet Eta Function -- From MathWorld
And: Wolfram Function Evaluation -- Zeta (Eta(x) = (1−2^(1−x))*Zeta(x))

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