This is documentation for an old release of SciPy (version 0.19.0). Read this page in the documentation of the latest stable release (version 1.15.1).
scipy.special.wrightomega¶
- scipy.special.wrightomega(z, out=None) = <ufunc 'wrightomega'>¶
Wright Omega function.
Defined as the solution to
ω+log(ω)=zwhere log is the principal branch of the complex logarithm.
Parameters: z : array_like
Points at which to evaluate the Wright Omega function
Returns: omega : ndarray
Values of the Wright Omega function
See also
- lambertw
- The Lambert W function
Notes
New in version 0.19.0.
The function can also be defined as
ω(z)=WK(z)(ez)where K(z)=⌈(ℑ(z)−π)/(2π)⌉ is the unwinding number and W is the Lambert W function.
The implementation here is taken from [R534].
References
[R534] (1, 2) Lawrence, Corless, and Jeffrey, “Algorithm 917: Complex Double-Precision Evaluation of the Wright ω Function.” ACM Transactions on Mathematical Software, 2012. DOI:10.1145/2168773.2168779.