The experimental data of the Si-28(alpha, t)(29)p and Si-28(alpha,He-3)Si-29 reactions at 45 MeV have been analysed in terms of full finite-range coupled-channels calculations. In the calculations, the reaction paths, direct and two step via the inelastic states of the initial and final nuclei have been treated in terms of the finite-range transfer theory. The spectroscopic amplitudes connecting the deformed initial and final nuclei in both the reactions are obtained from Nilsson's model. The data of both the reactions, populating the 1/2(+), 3/2(+) and 5/2(+) states in the K-pi = 1/2(+) band and the 3/2(+) and 5/2(+) states in the K-pi = 3/2(+) band, are best described by about 20% mixing of between the two bands. The effects of normal Woods-Saxon (WS), squared WS and molecular type of alpha-nucleus potentials are also discussed.