From Integrals to Multi-Sum Identities

Document Type

Article

Publication Date

8-1-2017

Department

Mathematics

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.

Publication Title

Advances in Applied Mathematics

Volume

89

First Page

102

Last Page

124

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