Differential Rational Normal Forms
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Description
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The main functionalities are to
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1.
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construct the polynomial normal form of a rational function,
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2.
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construct the two rational canonical forms of a rational function,
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3.
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construct the two multiplicative decompositions of a hyperexponential function,
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4.
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construct an additive decomposition of a hyperexponential function,
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5.
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solve the indefinite hyperexponential integration problem,
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6.
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help solve the definite hyperexponential integration problem.
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References
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Almkvist, G., and Zeilberger, D. "The method of differentiating under the integral sign." Journal of Symbolic Computation. Vol. 10. (1990): 571-591.
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Geddes, Keith; Le, Ha; and Li, Ziming. "Differential rational canonical forms and a reduction algorithm for hyperexponential functions." Proceedings of ISSAC 2004. ACM Press. (2004): 183-190.
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