On the Lambert W function

Advances in Computational Mathematics

Volumn 5, Issue 1, 1996, Pages 329-359

  Corless, R M ^a   Gonnet, G H ^b   Hare, D E G ^c   Jeffrey, D J ^a   Knuth, D E ^d  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

^b ETH ZURICH   (Switzerland)

^c UNIVERSITY OF WATERLOO   (Canada)

^d Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444436092     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02124750     Document Type: Article

References (23)

1. G. Alefeld, On the convergence of Halley's method, Amer. Math. Monthly 88 (1981) 530-536.
2. American National Standards Institute/Institute of Electrical and Electronic Engineers: IEEE Standard for Binary Floating-Point Arithmetic, ANSI/IEEE Std 754-1985, New York (1985).
3. J.D. Anderson, Introduction to Flight, 3rd ed. (McGraw-Hill, New York, 1989).
4. V.I. Arnold, Mathematical Methods for Classical Mechanics (Springer-Verlag, 1978).
5. I.N. Baker and P.J. Rippon, Convergence of infinite exponentials, Ann. Acad. Sci. Fenn. Ser. AI Math. 8 (1983) 179-186.
6. I.N. Baker and P.J. Rippon, A note on complex iteration, Amer. Math. Monthly 92 (1985) 501-504.
7. D.A. Barry, J.-Y. Parlange, G.C. Sander and M. Sivaplan, A class of exact solutions for Richards' equation, J. Hydrology 142 (1993) 29-46.
8. R.E. Bellman and K.L. Cooke, Differential-Difference Equations (Academic Press, 1963).
9. W.H. Beyer (ed.), CRC Standard Mathematical Tables, 28th ed. (1987).
10. C.W. Borchardt, Ueber eine der Interpolation entsprechende Darstellung der Eliminations- Resultante, J. reine angewandte Math. 57 (1860) 111-121.
11. N.G. de Bruijn, Asymptotic Methods in Analysis (North-Holland, 1961).
12. C. Carathéodory, Theory of Functions of a Complex Variable (Chelsea, 1954).
13. A. Cayley, A theorem on trees, Quarterly Journal of Mathematics, Oxford Series 23 (1889) 376-378.
14. B.W. Char, K.O. Geddes, G.H. Gonnet, B.L. Leong, M.B. Monagan and S.M. Watt, The Maple V Language Reference Manual (Springer-Verlag, 1991).
15. L. Comtet, Advanced Combinatorics (Reidel, 1974).
16. S.D. Conte and C. de Boor, Elementary Numerical Analysis, 3rd ed. (McGraw-Hill, 1980).
17. D. Coppersmith, private communication.
18. R.M. Corless, What good are numerical simulations of chaotic dynamical systems?, Computers Math. Applic. 28 (1994) 107-121.
19. R.M. Corless, Essential Maple (Springer-Verlag, 1994).
20. R.M. Corless and D.J. Jeffrey, Well, It Isn't Quite That Simple, SIGSAM Bulletin 26 (3) (1992) 2-6.
21. R.M. Corless, G.H. Gonnet, D.E.G. Hare, and D.J. Jeffrey, Lambert's W function in Maple, The Maple Technical Newsletter 9 (1993) 12-22.
22. H.T. Davis, Introduction to Nonlinear Differential and Integral Equations (Dover, 1962).
23. L. Devroye, A note on the height of binary search trees, J. ACM 33 (1986) 489-498.