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We explain how an analytic continuation we have developed recently is applied to determine the residues of the nucleon resonance poles within a dynamical coupled-channel model of meson-baron reactions. A procedure for evaluating the electromagnetic N-N^* transition form factors at resonance poles is developed. Illustrative results of the obtained N^* -> pi N, gamma N transition form factors for P_{11}, P_{33}, and D_{13} nucleon resonances are presented and compared with previous results.

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