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This letter provides novel expressions for the moment generating functions of generalized fading distributions, namely eta-mu and kappa-mu. Our results find applicability in the derivation of several performance metrics, such as average error rate (AER), of a broad class of modulation formats. For exemplification purposes, the AER of binary modulation schemes is derived. The novel expressions include several others available in the literature, such as those for Nakagami-m, Hoyt, and Rice.