Multiple integrals evaluated by functional equations

Shigeru Haruki

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Integrals of Frullani type and the method of brackets

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The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals. The present work uses this method to establish classical formulas due to Frullani which provide values of a specific family of integrals. Some generalizations are established.