Аннотация:A measurement of the shape of the differential decay rate and the associated Isgur-Wise function for the decay Λb0→Λc+μ-ν¯μ is reported, using data corresponding to 3 fb-1 collected with the LHCb detector in proton-proton collisions. The Λc+μ-ν¯μ(+anything) final states are reconstructed through the detection of a muon and a Λc+ baryon decaying into pK-π+, and the decays Λb0→Λc+π+π-μ-ν¯μ are used to determine contributions from Λb0→Λc*+μ-ν¯μ decays. The measured dependence of the differential decay rate upon the squared four-momentum transfer between the heavy baryons, q2, is compared with expectations from heavy-quark effective theory and from unquenched lattice QCD predictions.