Lambert function

Lambert's W function

Lambert's W function as per the Gnu Scientific Library reference manual section 7.23. These functions are declared in header file gsl_sf_lambert.h

lambert_W0(x, give=FALSE, strict=TRUE)
lambert_Wm1(x, give=FALSE,strict=TRUE)

Arguments

• x: input: real values

• give: Boolean with TRUE meaning to return a list of three items: the value, an estimate of the error, and a status number

• strict: Boolean, with TRUE meaning to return NaN

  if status is an error

References

https://www.gnu.org/software/gsl/

Author(s)

Robin K. S. Hankin

Examples

a <- runif(6)
L <- lambert_W0(a)
print(L*exp(L) - a)