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[en] We generalize nonadiabatic holonomic quantum computation in a resonant Λ configuration proposed in  to the case of off-resonant driving lasers. We show that any single-qubit holonomic gate can be realized by separately varying the detuning, amplitude, and phase of the lasers. - Highlights: • We generalize nonadiabatic holonomic single-qubit gates to the off-resonant case. • The scheme provides single-shot realization of arbitrary single-qubit gates. • The non-Abelian nature of the holonomy is demonstrated.