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SumTools[DefiniteSum][pFqToStandardFunctions] - compute closed forms of definite sums using hypergeometric functions
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Calling Sequence
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pFqToStandardFunctions(f, k=m..n)
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Parameters
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f
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expression; specified summand
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k
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name
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m, n
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expressions or integers
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Description
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The pFqToStandardFunctions(f, k=m..n) command computes a closed form of the definite sum of f over the specified range of k by first converting the specified sum into hypergeometric functions. If possible, the output is then converted to standard functions.
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References
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Petkovsek, M.; Wilf, H.; and Zeilberger, D. A=B, Ch. 3. Wellesley, Massachusetts: A K Peters, Ltd., 1996.
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Prudnikov, A. P.; Brychkov, Yu.; and Marichev, O. Integrals and Series. Gordon and Breach Science Publishers, 1990. Vol. 3: More Special Functions.
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Roach, K. "Hypergeometric Function Representations." Proceedings ISSAC 1996, pp. 301-308. New York: ACM Press, 1996.
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