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Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function - MaRDI portal

Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function (Q2161899)

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Language	Label	Description	Also known as
English	Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function	scientific article

Statements

scholarly article

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Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function (English)

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Applied Mathematics and Computation

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publication date

5 August 2022

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zbMATH Keywords

Lambert W function

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explicit estimates

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recursive approximations

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2022.127406

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Sharp bounds for the Lambert <i>W</i> function

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The uniformisation of the equation \(z^w=w^z\)

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All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells

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Emerging Tools for Experimental Mathematics

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Algebraic properties of the Lambert<i>W</i>function from a result of Rosenlicht and of Liouville

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Some applications of the Lambert W function to classical statistical mechanics

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Some special cases in the stability analysis of multi-dimensional time-delay systems using the matrix Lambert \(W\) function

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Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2

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Continued fraction expansions for the Lambert \(W\) function

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On the Lambert \(w\) function

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An Algorithm for the Matrix Lambert $W$ Function

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Transcendental equations satisfied by the individual zeros of Riemann \(\zeta\), Dirichlet and modular \(L\)-functions

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Precise and fast computation of Lambert \(W\)-functions without transcendental function evaluations

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On an application of Lambert's<i>W</i>function to infinite exponentials

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The Lambert W-functions and some of their integrals: A case study of high-precision computation

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A note on the use of the Lambert W function in the stability analysis of time-delay systems

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New approximations to the principal real-valued branch of the Lambert \(W\)-function

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Computing the Lambert \(W\) function in arbitrary-precision complex interval arithmetic

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Derivatives of the tree function

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Unimodal sequences show Lambert W is Bernstein

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Stieltjes and other integral representations for functions of Lambert<i>W</i>

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Fleshing out the generalized Lambert <i>W</i> function

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On the structure of the solution set of a generalized Euler-Lambert equation

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On the generalization of the Lambert $W$ function

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Verified computation for the matrix Lambert \(W\) function

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The Lambert \(W\) function, Nuttall's integral, and the Lambert law

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On Schröder's families of root-finding methods

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General relativity and quantum mechanics: towards a generalization of the Lambert \(W\) function: a generalization of the Lambert \(W\) function

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Robust stability analysis of linear time-delay systems by Lambert \(W\) function: some extreme point results

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PSEM approximations for both branches of Lambert \(W\) function with applications

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Fall with linear drag and Wien's displacement law: approximate solution and Lambert function

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Primes and the Lambert \(W\) function

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Solution of the equation 𝑧𝑒^{𝑧}=𝑎

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Eigenvalue Assignment via the Lambert W Function for Control of Time-delay Systems

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Identifiers

10.1016/j.amc.2022.127406

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2161899

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