scipy.special.wrightomega¶
-
scipy.special.wrightomega(z, out=None) = <ufunc 'wrightomega'>¶ Wright Omega function.
Defined as the solution to
\[\omega + \log(\omega) = z\]where \(\log\) is the principal branch of the complex logarithm.
- Parameters
- zarray_like
Points at which to evaluate the Wright Omega function
- Returns
- omegandarray
Values of the Wright Omega function
See also
lambertwThe Lambert W function
Notes
New in version 0.19.0.
The function can also be defined as
\[\omega(z) = W_{K(z)}(e^z)\]where \(K(z) = \lceil (\Im(z) - \pi)/(2\pi) \rceil\) is the unwinding number and \(W\) is the Lambert W function.
The implementation here is taken from [1].
References
- 1(1,2)
Lawrence, Corless, and Jeffrey, “Algorithm 917: Complex Double-Precision Evaluation of the Wright \(\omega\) Function.” ACM Transactions on Mathematical Software, 2012. DOI:10.1145/2168773.2168779.