| A sequence of series for the Lambert W function |
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International Conference on Symbolic and Algebraic Computation
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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
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Authors
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Robert M. Corless
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Department of Applied Mathematics, University of Western Ontario, London, Canada N6A 5B7
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David J. Jeffrey
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Department of Applied Mathematics, University of Western Ontario, London, Canada N6A 5B7
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Donald E. Knuth
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Computer Science Department, Gates 4B, Stanford University, Stanford, CA
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Downloads (6 Weeks): 17, Downloads (12 Months): 91, Citation Count: 1
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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.
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BoawmN, J. M., AND CORLESS, R. M. "Emerging tools for experimental mathematics", in preparation (1997).
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CARATHEODORY, C. Theory of Fhnctions of a Complex Variable. Chelsea, 1954.
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COMTET, L. Advanced Combinatorics. Reidel, 1974.
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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.
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CORLESS, R. M., AND JEFFREY, D. J. "The dynamics of the Lambert W function", in preparation (1997).
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DE BRUIJN, N. G. Asymptotic Methods in Analysis. North-Holland, 1961.
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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.
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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.
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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.
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LAUWERIER, H.A. "The asymptotic expansion of the statistical distribution of N. V. Smirnov". Z. Wahrscheinlichkeitstheorie 2 (1963), 61-68.
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MURNAGttAN, F. D. "Airey's converging factor". Proc. Nat. Acad. Sci. USA 69 (1972), 440-441.
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