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A sequence of series for the Lambert W function
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1997 international symposium on Symbolic and algebraic computation table of contents
Kihei, Maui, Hawaii, United States
Pages: 197 - 204  
Year of Publication: 1997
ISBN:0-89791-875-4
Authors
Robert M. Corless  Department of Applied Mathematics, University of Western Ontario, London, Canada N6A 5B7
David J. Jeffrey  Department of Applied Mathematics, University of Western Ontario, London, Canada N6A 5B7
Donald E. Knuth  Computer Science Department, Gates 4B, Stanford University, Stanford, CA
Sponsors
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
BENDER, C. M., AND ORSZAG, S. A. Advanced MaChematical Methods for Scientists and Engineers. McGraw-Hill, 1978.
 
2
BoawmN, J. M., AND CORLESS, R. M. "Emerging tools for experimental mathematics", in preparation (1997).
 
3
CARATHEODORY, C. Theory of Fhnctions of a Complex Variable. Chelsea, 1954.
 
4
COMTET, L. Advanced Combinatorics. Reidel, 1974.
 
5
CORLESS, R. M., GONNET, G. H., HARE, D. E. G., JEFFREY, D. J., AND KNUT}I, D. E. "On the Lambert W function". Advances in Computational Mathematics 5 (1996), 329-359.
6
 
7
CORLESS, R. M., AND JEFFREY, D. J. "The dynamics of the Lambert W function", in preparation (1997).
 
8
DE BRUIJN, N. G. Asymptotic Methods in Analysis. North-Holland, 1961.
 
9
EULER, L. "De serie Lambertina plurimisque eius insignibus proprietatibus", vol. 6 of Opera Mathematica 1. 1921 (orig. date 1779), pp. 350-369.
 
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JEFFREY, D. J., CORLESS, R. M., HARE, D. E. G., AND KNUTH, D. E. "Sur l'inversion de yae~ au moyen des nombres de Stifling associ6s". Comptes Rendus de l'Acaddmie des Sciences, Paris 320 (1995), 1449-1452.
 
12
JEFFREY, D. J., HARE, D. E. G., AND CORLESS, R.M. "Unwinding the branches of the Lambert W function". Mathematical Scientist 21 (1996), 1-7.
 
13
KARAMATA, J. "Sur quelques probl~mes pos6s par Ramanujan". J. Indian Math. Soc. 24 (1960), 343-365.
 
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KNUTH, D. E., AND PITTEL, B. "A recurrence related to trees". Proc. Amer. Math. Soc. 105 (1989), 335-349.
 
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LABELLE, G. "Sur l'inversion et l'it6ration continue des s6ries formeUes'. European Journal of Combinatorics 1 (1980), 113-138.
 
18
LAUWERIER, H.A. "The asymptotic expansion of the statistical distribution of N. V. Smirnov". Z. Wahrscheinlichkeitstheorie 2 (1963), 61-68.
 
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20
MURNAGttAN, F. D. "Airey's converging factor". Proc. Nat. Acad. Sci. USA 69 (1972), 440-441.


Collaborative Colleagues:
Robert M. Corless: colleagues
David J. Jeffrey: colleagues
Donald E. Knuth: colleagues