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))

Return to Complex Computations
Return to Harry's Home Page


This page accessed times since Feb 13, 2006.
Page created by: hjsmithh@sbcglobal.net
Changes last made on Monday, 06-Aug-07 16:15:39 PDT

1