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Application of MACSYMA to an asymptotic expansion problem

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Paul S. WangAuthors Info & Claims

ACM '72: Proceedings of the ACM annual conference - Volume 2

Pages 844 - 850

https://doi.org/10.1145/800194.805870

Published: 01 August 1972 Publication History

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Abstract

An algebraic manipulation system called MACSYMA is used to compute the asymptotic expansion of a definite integral. The usefulness of the many facilities and features of MACSYMA is clearly demonstrated.

References

[1]

Carrier, G. F., Krook M. and Pearson, C. E., Functions of a Complex Variable, McGraw-Hill, New York, 1966.

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[2]

Copson, E. T., Asymptotic Expansions, Cambridge University press, 1967.

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[3]

Engelman, C., "The Legacy of Mathlab 68", Proceedings Second Symposium on Symbolic and Algebraic Manipulation, Mar. 1971, pp. 29-41, (this volume will be referred to as SYMSAM II).

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[4]

Fateman, R. J., "Essays in Algebraic Simplification", doctoral dissertation, Division of Engineering and Applied Physics, Harvard University, Cambridge, Mass., Apr. 1971.

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[5]

Martin, W. A., "Symbolic Mathemetical Laboratory", doctoral dissertation, MIT, Cambridge, Mass., Jan. 1967. (also Report TR-36, Project MAC, MIT)

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Martin, W. A., and Fateman, R. J., "Tje MACSYMA System", SYMSAM II pp. 59-75.

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[7]

Moses, J., "Symbolic Integration", doctoral dissertation, MIT, Cambridge, Mass., Dec. 1967. (also Report TR-47, Project MAC, MIT)

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Wang, P. S., "Automatic Computation of Limits", SYMSAM II, pp. 458-464.

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[9]

Wang, P. S., "Evaluation of Definite Integrals by Symbolic Manipulation", Doctoral dissertation, Department of Mathematics, MIT, Cambridge, Mass., Aug. 1971.

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Index Terms

Application of MACSYMA to an asymptotic expansion problem
1. Computing methodologies
  1. Symbolic and algebraic manipulation
    1. Computer algebra systems

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Published In

ACM '72: Proceedings of the ACM annual conference - Volume 2

August 1972

530 pages

ISBN:9781450374927

DOI:10.1145/800194

Chairman:
John J. Donovan,
Editor:
Rosemary Shields

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 August 1972

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