On the parallel Risch algorithm (III): use of tangents

ABSTRACT

In this note, we look at the extension to the parallel Risch algorithm (see, e.g., the papers by Norman & Moore [1977], Norman & Davenport [1979], ffitch [1981] or Davenport [1982] for a description of the basic algorithm) which represents trigonometric functions in terms of tangents, rather than instead of complex exponentials.

REFERENCES

• 1: James H. Davenport, The Parallel Risch Algorithm (I), Proceedings of the European Computer Algebra Conference on Computer Algebra, p.144-157, April 05-07, 1982
• 2: John Fitch, User-based integration software, Proceedings of the fourth ACM symposium on Symbolic and algebraic computation, p.245-248, August 05-07, 1981, Snowbird, Utah, United States [doi>10.1145/800206.806404]
• 3: (Griesmer et al., 1975) Griesmer, J. H., Jenks, R. D. & Yun, D. Y. Y., SCRATCHPAD User's Manual. IBM Research Publication RA70, June 1975.
• 4: A. C. Norman , James H. Davenport, Integration -- the dust settles? (invited), Proceedings of the International Symposiumon on Symbolic and Algebraic Computation, p.398-407, June 01, 1979
• 5: (Norman & Moore, 1977) Norman, A. C. and Moore, P. M. A., Implementing the New Risch Integration Algorithm. Proc. 4th. Int. Colloquium on Advanced Computing Methods in Theoretical Physics, Marseilles, 1977.