Stieltjes and other integral representations for functions of LambertW

DOI10.1080/10652469.2011.613830zbMath1258.33015OpenAlexW1964668434MaRDI QIDQ3166782

Robert M. Corless, German A. Kalugin, David J. Jeffrey, Peter B. Borwein

Publication date: 15 October 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.613830

zbMATH Keywords

completely monotonic functionsBernstein functionStieltjes functionLambert W functioncomplete Bernstein function

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Monotonic functions, generalizations (26A48) Other special functions (33E99)

Related Items (12)

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Cites Work

• A conjecture concerning a completely monotonic function
• Lambert's \(W\), infinite divisibility and Poisson mixtures
• Some classes of completely monotonic functions. II
• Real-variables characterization of generalized Stieltjes functions
• Bounds on effective moduli by analytical continuation of the Stieltjes function expanded at zero and infinity
• On the Lambert \(w\) function
• Two-point Padé approximants for the expansions of Stieltjes functions in real domain
• Harmonic Function Theory
• The generalized Stieltjes transform and its inverse
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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