boostmath (version 1.0.0)

lambert_w_function: Lambert W Function and Its Derivatives

Description

Functions to compute the Lambert W function and its derivatives for the principal branch (\(W_0\)) and the branch -1 (\(W_{-1}\)).

Usage

lambert_w0(z)
lambert_wm1(z)
lambert_w0_prime(z)
lambert_wm1_prime(z)

Value

A single numeric value with the computed Lambert W function or its derivative.

Arguments

z

Argument of the Lambert W function

See Also

Boost Documentation for more details on the mathematical background.

Examples

# Lambert W Function (Principal Branch)
lambert_w0(0.3)
# Lambert W Function (Branch -1)
lambert_wm1(-0.3)
# Derivative of the Lambert W Function (Principal Branch)
lambert_w0_prime(0.3)
# Derivative of the Lambert W Function (Branch -1)
lambert_wm1_prime(-0.3)