Complex Dirichlet Beta Function

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

See: Real Dirichlet Beta 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 < −313.

See: Dirichlet Beta Function -- From MathWorld
And: Wolfram Function Evaluation -- LerchPhi (Beta(x) = 2^(−x)*LerchPhi(−1, x, 1/2)

Return to Complex Computations
Return to Harry's Home Page

This page accessed times since Feb 13, 2006.
Page created by:
Changes last made on Monday, 13-Feb-06 12:27:52 PST