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Distributed antenna systems (DASs) are expected to play an important role in the delivery of high data rates in future cellular networks. In DASs, the multipath fading and shadowing effects have to be analyzed concurrently due to the geographical scattering of the distributed antenna ports. The Gamma-Gamma (generalized-K) probability density function (PDF) has been adopted recently to model composite fading in wireless channels. In this paper, the ergodic capacity and the information outage probability for DASs in generalized-K fading channels are considered. The analysis is based on the approximation of the PDF of the weighted sum of independent generalized-K random variables by another generalized-K PDF. The obtained results provide insights into the gains of DASs in generalized-K composite fading channels.