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A differential-equations approach to functional equivalence
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Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation table of contents
Portland, Oregon, United States
Pages: 7 - 10  
Year of Publication: 1989
ISBN:0-89791-325-6
Author
Sponsor
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 1,   Downloads (12 Months): 11,   Citation Count: 4
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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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[1] A. Baker, 'Transcendental Number Theory', Cambridge University Press (1975).
 
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[2] G. Birkoff and G.C. Rota, 'Ordinary Differential Equations', Ginn & Co. (1962).
 
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[3] W.S. Brown, 'Rational Exponential Expressions and a Conjecture Concerning ¿ and e', Amer. Math. Monthly 76 (1969), 28-34.
 
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[4] B. Buchberger and R. Loos, 'Algebraic Simplification', in 'Computer Algebra: Symbolic and Algebraic Computation', B. Buchberger, G.E. Collins & R. Loos (eds.), 2nd edition, Springer-Verlag, Wien/New York (1983), 11-43.
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[6] B.F. Caviness, 'Methods for Symbolic Computation with Transcendantal Functions', in Proc. Conf. on Symbolic Computational Methods and Applications, St. Maximin (France)', A. Visconti (ed.) (1977), 16-43.
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[8] J.P. Fitch, 'On Algebraic Simplification', Comput. J. 17/1 (1973), 23-27.
 
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[12] S. Lang, 'Transcendental Numbers and Diophantine Approximation', Bull. Amer. Math. Soc. 77/5 (1971), 635-677.
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[14] Yu. V. Matijacevic, 'Enumerable Sets are Diophantine', Sov. Math. Dokl. 11 (1970), 453-458.
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[18] D. Richardson, 'Some Undecidable Problems Involving Elementary Functions of a Real Variable', J. Symbolic Logic 33 (1968), 514-520.
 
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[19] M. Rothstein and B.F. Caviness, 'A Structure Theorem for Exponential and Primitive Functions', SIAM J. Comput. 8/3 (1979), 357-367.
 
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[20] J.R. Shackell, 'Growth Estimates for Exp-Log Functions', preprint 1987.
 
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[21] J.R. Shackell, 'Zero-equivalence in function fields defined by algebraic differential equations', preprint 1989.