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This short note presents the Lambert W(x) function and its possible application in the framework of physics related to the Pierre Auger Observatory.
P.M. Morse and H. Feshbach, Methods of Theoretical Physics, Part I , McGraw-Hill, New York (1953) 411
1953
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N.J.A. Sloane, A handbook of integer sequences , Academic Press (1973); Database of integer sequences (WWW version) http://netlib.att.com/math/sloane/doc/eisbt0.html
1973
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F.N. Fritsch, R.E. Shafer, and W.P. Crowley, Algorithm 443: solution of the transcendental equation w e w = x w\,e^{w}=x , Commun. ACM 16
1973
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T.K. Gaisser and A.M. Hillas, Proceedings of the 15th Internation Cosmic-Ray Conference, Plavdiv, 8
1977
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N.G. de Bruijn, Asymptotic Methods in Analysis , New York, Dover (1981) 27
1981
Cited alongside, same era.
R.M. Corless, G.H. Gonnet, D.E.G. Hare, and D.J. Jeffrey, Lambert’s W Function in Maple , Maple Technical Newsletter 9
1993
Cited alongside, same era.
D.J. Jeffrey, R.M. Corless, D.E.G. Hare, and D.E. Knuth, Sur l’inversion de y α e y y^{\alpha}e^{y} au moyen des nombers de Stirling associés , Comptes Rendus Acad. Sci. Paris 320
1995
Cited alongside, same era.
T.R. Scavo and J.B. Thoo, On the Geometry of Halley’s Method , Amer. Math. Monthly 102
1995
Cited alongside, same era.
R.M. Corless, G.H. Gonnet, D.E.G. Hare, D.J. Jeffrey, and D.E. Knuth, On the Lambert W function , Adv. Comput. Math. 5
1996
Later among the works it cites.
I.C. Mariş, M. Roth, and T. Schmidt, A Phenomenological Method to Recover the Signal from Saturated Stations , GAP-2006-012
2006
Later among the works it cites.
See also D. Veberič, Comp. Phys. Comm. 183
2010
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