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

DOI10.1007/s11075-010-9409-6zbMath1215.65042OpenAlexW2085043452MaRDI QIDQ535247

Walter Gautschi

Publication date: 11 May 2011

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9409-6

zbMATH Keywords

numerical examplesintegrals of Lambert W-functionsLambert W-functionsnonstandard Gaussian quadraturevariable-precision computation

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Elementary classical functions (33B99) Numerical approximation and evaluation of special functions (33F05)

Related Items (6)

The Euler \(T\) and Lambert \(W\) functions in mechanistic radiobiological models with chemical kinetics for repair of irradiated cells ⋮ Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function ⋮ New approximations to the principal real-valued branch of the Lambert \(W\)-function ⋮ 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 ⋮ \(W\) solutions of the CW equation for flow friction ⋮ LAMBERTW

Cites Work

• Variable-precision recurrence coefficients for nonstandard orthogonal polynomials
• On the Lambert \(w\) function
• Comments on "numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2"
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