Advanced search
Publication Cover
Integral Transforms and Special Functions Volume 23, 2012 - Issue 8
Submit an article Journal homepage
271
Views
16
CrossRef citations to date
0
Altmetric
Original Articles

Stieltjes and other integral representations for functions of Lambert W

German A. Kalugin Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada, N6A 5B7
,
David J. Jeffrey Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada, N6A 5B7Correspondence[email protected]
,
Robert M. Corless Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada, N6A 5B7
&
Peter B. Borwein The IRMACS Centre, Simon Fraser University, Burnaby, British Columbia, Canada, V5A 1S6
Pages 581-593 | Received 16 May 2011, Accepted 09 Aug 2011, Published online: 19 Sep 2011

Citations (16)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

G. Keady, N. Khajohnsaksumeth & B. Wiwatanapataphee. (2018) On functions and inverses, both positive, decreasing and convex: And Stieltjes functions. Cogent Mathematics & Statistics 5:1.
Read now

Articles from other publishers (15)

Francesco Mainardi, Enrico Masina & Juan Luis González-Santander. (2023) A Note on the Lambert W Function: Bernstein and Stieltjes Properties for a Creep Model in Linear Viscoelasticity. Symmetry 15:9, pages 1654.
Crossref
Marcel Schweitzer. (2023) Integral representations for higher-order Fréchet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number. Linear Algebra and its Applications 656, pages 247-276.
Crossref
Jacob Imre & David J. Jeffrey. 2023. Computer Algebra in Scientific Computing. Computer Algebra in Scientific Computing 199 212 .
Lajos Lóczi. (2022) Guaranteed- and high-precision evaluation of the Lambert function . Applied Mathematics and Computation 433, pages 127406.
Crossref
Stefano Massei & Leonardo Robol. (2020) Rational Krylov for Stieltjes matrix functions: convergence and pole selection. BIT Numerical Mathematics 61:1, pages 237-273.
Crossref
V. Menegatto. (2020) Positive definite functions on products of metric spaces via generalized Stieltjes functions. Proceedings of the American Mathematical Society 148:11, pages 4781-4795.
Crossref
Dževad Belkić. (2018) 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. Journal of Mathematical Chemistry 57:1, pages 59-106.
Crossref
Anthony G. Pakes. (2018) The Lambert function, Nuttall’s integral, and the Lambert law . Statistics & Probability Letters 139, pages 53-60.
Crossref
Feng Qi, Xiao-Jing Zhang & Wen-Hui Li. (2016) The harmonic and geometric means are Bernstein functions. Boletín de la Sociedad Matemática Mexicana 23:2, pages 713-736.
Crossref
Heba al Kafri, David J. Jeffrey & Robert M. Corless. 2017. Mathematical Aspects of Computer and Information Sciences. Mathematical Aspects of Computer and Information Sciences 270 274 .
Daniel Hackmann & Alexey Kuznetsov. (2016) Approximating Lévy processes with completely monotone jumps. The Annals of Applied Probability 26:1.
Crossref
Matthieu Josuat-Verg?s. (2015) Derivatives of the tree function. The Ramanujan Journal 38:1, pages 1-15.
Crossref
Filippo Giraldi. (2015) Transcendental equations in the Schwinger-Keldysh nonequilibrium theory and nonvanishing correlations. Journal of Mathematical Physics 56:9.
Crossref
Diego Dominici & Walter Van Assche. (2014) Zero distribution of polynomials satisfying a differential-difference equation. Analysis and Applications 12:06, pages 635-666.
Crossref
Anthony G. Pakes. (2014) On the Preservation of Infinite Divisibility under Length-Biasing. Journal of Probability 2014, pages 1-9.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.