dirichletEta( z )

The Dirichlet eta function of z in Math. Defined by

$\eta(z) = \sum_{k=1}^\infty \frac{ (-1)^{k-1} }{ k^z }$

Related to the Riemann zeta function by

$\eta(z) = \left( 1 - 2^{1-z} \right) \zeta(z)$

Real part on the real axis:

Imaginary part on the real axis is zero.

Real part on the imaginary axis:

Imaginary part on the imaginary axis:

Real part on the complex plane:

Imaginary part on the complex plane:

Absolute value on the complex plane:

Related functions:   zeta

Function category: zeta functions