From integrals to multi-sum identities |
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Affiliation: | Department of Mathematics, University of Southern Mississippi, Long Beach, MS 39560, United States |
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Abstract: | Ramanujan's Master Theorem and its extension in the method of brackets are a powerful technique for evaluation of many definite integrals, often producing series solutions. In the case that the series are multi-sums, simplification is nontrivial. Recurrence-finding algorithms assist in proving multi-sum identities to verify the correctness of such multi-sum series solutions. |
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Keywords: | Definite integrals Special functions Hypergeometric series Computer algebra |
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