Lambert W0 function

W0(x) is the principal branch of the solution of the function defined by \(We^W = x\) for \(x >= -1/e\). The value is calculated using GNU Scientific Library (GSL).

Usage

lambertW0(x)

Arguments

x

numeric vector of values.

References

GNU Scientific Library <https://www.gnu.org/software/gsl/>

Examples

## Should equal 1, as 1 * exp(1) = e.
lambertW0(exp(1))
#> [1] 1

## Should equal 0, as 0 * exp(0) = 0.
lambertW0(0)
#> [1] 0

## Should equal -1.
lambertW0(-exp(-1))
#> [1] -1