lambert_w_function: Lambert W Function and Its Derivatives

In boostmath: 'R' Bindings for the 'Boost' Math Functions

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)

Arguments

z	Argument of the Lambert W function

Value

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

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)

boostmath documentation built on Dec. 15, 2025, 5:07 p.m.