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The elliptic flow, v2, of muons from heavy-flavour hadron decays at forward rapidity (2.5<y<4) is measured in Pb--Pb collisions at sNN−−−√~=~2.76 TeV with the ALICE detector at the LHC. The scalar product, two- and four-particle Q cumulants and Lee-Yang zeros methods are used. The dependence of the v2 of muons from heavy-flavour hadron decays on the collision centrality, in the range 0--40\%, and on transverse momentum, pT, is studied in the interval 3<pT<10~GeV/c. A positive v2 is observed with the scalar product and two-particle Q cumulants in semi-central collisions (10--20\% and 20--40\% centrality classes) for the pT interval from 3 to about 5 GeV/c. The v2 magnitude tends to decrease towards more central collisions and with increasing pT. It becomes compatible with zero in the interval 6<pT<10 GeV/c. The results are compared to models describing the interaction of heavy quarks and open heavy-flavour hadrons with the high-density medium formed in high-energy heavy-ion collisions. The model calculations describe the measured v2 within uncertainties.