On the LambertW function

By Robert M Corless, Gaston H. Gonnet, D. Hare, David J. Jeffrey, Donald Ervin Knuth. 1996

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Federated Heavy Hitters Discovery with Differential Privacy (2019, positive): “To achieve (ε, δ)-differential privacy, set γ = (e ε L − 1) √ n/(θe ε L ) and θ = max{10, de (Cδ)+1 − 1 2e, de ε L − 1e}, where W is the Lambert W function (Corless et al., 1996) and Cδ = e −1 ln( 8 7 √ 2π δ−1).”
A Brief Look into the Lambert W Function (2013, background): “where         1 ln ln 1 S , 1 ! m n m n m x a x n n m m           and   S , n k denotes a Stirling number of the first kind [3].”
Regular Black Holes with Asymptotically Minkowski Cores (2019, background): “We find that in this toy model the resulting curvature tensors and curvature invariants are significantly simpler than for Bardeen/Hayward/Frolov, at the cost of having many physically interesting features defined by the Lambert W function, one of the special functions of mathematics [28–40].”
Sequential estimation of quantiles with applications to A/B testing and best-arm identification (2019, background): “where W−1(x) is the lower branch of the Lambert W function, the most negative real-valued solution in z to ze = x, and the second expression uses the asymptotic expansion of W−1 near the origin (Corless et al., 1996).”
Relay-Assisted Free-Space Optical Communication (2007, background): “where W−1(·) is −1 branch of Lambert-W function which is a solution of the wellknown equation W(z)e = z [56].”
Technical communique: The Lambert W function and the spectrum of some multidimensional time-delay systems (2007, unknown): “which can be defined by the branchcuts in [15] and [7].”