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In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse...

the value of W(1), where W is Lambert's W function. The name is derived from the alternate name for Lambert's W function, the omega function. The numerical...

related to the Lambert W Function The Pearson–Cunningham function ω m , n ( x ) {\displaystyle \omega _{m,n}(x)} The prime omega function ω ( n ) {\displaystyle...

(5)~~~~u=\omega (-t)} The solution can be expressed also through the related Lambert W function. Let u = V ( − e t ) {\displaystyle u=V{\big (}-\mathrm {e} ^{t}{\big...

inverse function of an analytic function. Lagrange inversion is a special case of the inverse function theorem. Suppose z is defined as a function of w by...

with the Lambert W function: s s r t ( x ) = e W ( ln ⁡ x ) = ln ⁡ x W ( ln ⁡ x ) {\displaystyle \mathrm {ssrt} (x)=e^{W(\ln x)}={\frac {\ln x}{W(\ln x)}}}...

German/Italian wine grape Trollinger Lambert v. California, court case regarding legal notice Lambert W function, mathematical definition of a product...

Meijer G-function Fox H-function Hyper operators Iterated logarithm Pentation Super-logarithms Tetration Lambert W function: Inverse of f(w) = w exp(w). Lamé...

of the Lambert W function. The exact solution, in the full three dimensional case, can be expressed in terms of Weierstrass's elliptic functions For convenience...

science), the Lambert W function, and the logit. They are the inverse functions of the double exponential function, tetration, of f(w) = wew, and of...

usually solved numerically due to its implicit nature. Recently, the Lambert W function has been employed to obtain explicit reformulation of the Colebrook...

Half-exponential function, a compositional square root of an exponential function Lambert_W_function#Solving_equations – Multivalued function in mathematics...

mathematics, the Wright omega function or Wright function, denoted ω, is defined in terms of the Lambert W function as: ω ( z ) = W ⌈ I m ( z ) − π 2 π ⌉ (...

Johann Heinrich Lambert (German: [ˈlambɛɐ̯t], Jean-Henri Lambert in French; 26 or 28 August 1728 – 25 September 1777) was a polymath from the Republic...

in the numerator. A relation of the Fox H-Function to the -1 branch of the Lambert W-function is given by W − 1 ⁡ ( − α ⋅ z ) ¯ = { lim β → α − [ α 2...

The quantile function can be expressed in a closed-form expression using the Lambert W function: Q ( u ) = α β λ − 1 λ ln ⁡ ( 1 − u ) − 1 β W 0 [ α e α /...

the Lambert W function. Some examples of functions that are not elementary: tetration the gamma function non-elementary Liouvillian functions, including...

problem, the solutions are given by a generalization of the Lambert W function (see Lambert W function § Generalizations). One of the most interesting cases...

meteorites by weathering W0 may refer to the principal branch of the Lambert W Function 0W (disambiguation) This disambiguation page lists articles associated...

Lindemann–Weierstrass theorem). W ( a ) {\displaystyle W(a)} if a {\displaystyle a} is algebraic and nonzero, for any branch of the Lambert W Function (by the Lindemann–Weierstrass...