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Within the framework of the B-meson light-cone sum rules, we review the calculation of radiative corrections to the three B→π transition form factors at leading power in Λ/mb. To resum large logarithmic terms, we perform the complete renormalization group evolution of the correlation function. We employ the integral transformation which diagonalizes evolution equations of the jet function and the B-meson light-cone distribution amplitude to solve these evolution equations and obtain renormalization group improved sum rules for the B→π form factors. Results of the form factors are extrapolated to the whole physical q2 region and are compared with that of other approaches. The effect of B-meson three-particle light-cone distribution amplitudes, which will contribute to the form factors at next-to-leading power in Λ/mb at tree level, is not considered in this paper.