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

DOI10.1016/j.spl.2018.03.015zbMath1391.60037OpenAlexW2794779057WikidataQ114850280 ScholiaQ114850280MaRDI QIDQ1642429

Anthony G. Pakes

Publication date: 20 June 2018

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.03.015

zbMATH Keywords

infinite divisibilityLambert \(W\) functionBernstein function

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Laplace transform (44A10) Higher logarithm functions (33B30)

Related Items (3)

Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function ⋮ Affine relation between an infinitely divisible distribution function and its Lévy measure ⋮ Self-decomposable laws from continuous branching processes

Uses Software

• DLMF

Cites Work

• Lambert's \(W\), infinite divisibility and Poisson mixtures
• On moment sequences and infinitely divisible sequences
• Mallows' integral and some generalizations
• On the Lambert \(w\) function
• Stieltjes and other integral representations for functions of LambertW
• Some applications of the Lambert W function to classical statistical mechanics
• Bernstein functions. Theory and applications
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