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SumTools[DefiniteSum][CreativeTelescoping] - compute closed forms of definite sums using creative telescoping method
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Calling Sequence
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CreativeTelescoping(f, k=m..n)
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Parameters
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f
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hypergeometric term
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k
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name; summation index
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m, n
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expressions or integers
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Description
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The CreativeTelescoping(f, k=m..n) command computes a closed form of the definite sum of f over the specified range of k using creative telescoping method.
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References
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van Hoeij, M. "Finite Singularities and Hypergeometric Solutions of Linear Recurrence Equations." Journal of Pure and Applied Algebra. Vol. 139. (1999): 109-131.
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Zeilberger, D. "The Method of Creative Telescoping." Journal of Symbolic Computing. Vol. 11. (1991): 195-204.
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