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Finite energy QCD sum rules with Legendre polynomial integration kernels areused to determine the heavy meson decay constant $f_{B_c}$, and revisit $f_B$and $f_{B_s}$. Results exhibit excellent stability in a wide range of values ofthe integration radius in the complex squared energy plane, and of the order ofthe Legendre polynomial. Results are $f_{B_c} = 528 \pm 19$ MeV, $f_B = 186 \pm14$ MeV, and $f_{B_s} = 222 \pm 12$ MeV.

$B$ Meson Decay Constants $f_{B_c}$, $f_{B_s}$ and $f_B$ from QCD Sum Rules