Dispersion relations in differential form

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Various forms of derivative dispersion relations, in which the dispersion integral is replaced by a series of derivatives of the imaginary part of a scattering amplitude, are reviewed. Conditions of their validity and practical applicability as well as their relevance to high-energy small-angle hadron-hadron scattering are discussed.
8 pages, latex using elsart.sty, no figures, Presented at 9th Blois Workshop on Elastic and Diffractive Scattering, Pruhonice, Prague, Czech Republic, June 2001

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