This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
Bronstein, M. (1987), “Integration of Elementary Functions,” Ph.D. thesis, Dpt. of Mathematics, Univ. of California, Berkeley.
Bronstein, M. (1988), The Transcendental Risch Differential Equation, Journal of Symbolic Computation (to appear). Also IBM Research Report RC 13460.
Char, B. W., Geddes, K.O., Gonnet, G. O., Watt, S. M. (1985), “Maple Users's Guide,” WATCOM Publ. Ltd., Waterloo, Ontario.
Davenport, J. H. (1984), Intégration algorithmique des fonctions élémentairement transcendantes sur une courbe algébrique, Annales de l'Institut Fourier 34 fasc.2, 271–276.
Davenport, J. H. (1986), The Risch Differential Equation Problem, SIAM Journal on Computing 15, No.4, 903–918. Also Technical Report 83-4, Dpt. of Computer and Information Sciences, Univ. of Delaware.
Jenks, R. D., Sutor, R. S., Watt, S. M., Scratchpad II: An Abstract Datatype System for Mathematical Computation, in “Scientific Software,” IMA Volumes in Mathematics and Its Applications, Volume 4, Springer-Verlag, New York (to appear).
Risch, R. (1968), On the Integration of Elementary Functions which are built up using Algebraic Operations, Report SP-2801/002/00. System Development Corp., Santa Monica, CA.
Risch, R. (1969), The Problem of Integration In Finite Terms, Trans. Amer. Math. Soc. 139, 167–189.
Rothstein, M. (1976), “Aspects of Symbolic Integration and Simplification of Exponential and Primitive Functions,” Ph.D. thesis, Univ. of Wisconsin, Madison.
Trager, B. M. (1984), “Integration of Algebraic Functions,” Ph.D. thesis, Dpt. of EECS, Mass. Inst. of Tech..
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bronstein, M. (1989). Fast reduction of the Risch differential equation. In: Gianni, P. (eds) Symbolic and Algebraic Computation. ISSAC 1988. Lecture Notes in Computer Science, vol 358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51084-2_6
Download citation
DOI: https://doi.org/10.1007/3-540-51084-2_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51084-0
Online ISBN: 978-3-540-46153-1
eBook Packages: Springer Book Archive