  A method to extract resonance pole information from single-channel
partial-wave amplitudes based on a Laurent (Mittag-Leffler) expansion and
conformal mapping techniques has recently been developed. This method has been
applied to a number of reactions and provides a model-independent extraction
procedure which is particularly useful in cases where a set of amplitudes is
available only at descrete energies. This method has been generalized and
applied to the case of a multi-channel fit, where several sets of amplitudes
are analysed simultaneously. The importance of unitarity constraints is
discussed. The final result provides a powerful, model-independent tool for
analyzing partial-wave amplitudes of coupled or connected channels based
entirely on the concepts of analyticity and unitarity.
