wrightOmega( z )

The Wright omega function of z in Math. Defined in terms of the Lambert W function by

\[ \omega(z) = W_{ \lceil \frac{ \operatorname{Im}(z) - \pi }{ 2\pi } \rceil } ( e^z ) \]

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:   exp   lambertW

Function category: logarithmic functions