Upper panel: effect of the luminosity distance − redshift relation on the shape of the LF. The black points were computed using the 1/V_max method, assuming both d_L(z) and r(z) relations stemming from the standard model, while the blue and red points kept the r(z) relation for the ΛCDM model, changing only the d_L(z) relation for that in the listed void model. The effect of the d_L(z) relation on the shape of the LF is clear, especially at the lower luminosity bins. Lower panel: effect of the comoving distance − redshift relation on the shape of the LF. The black points were computed using the 1/V_max method, assuming both d_L(z) and r(z) relations stemming from the standard model, while the blue and red points kept the d_L(z) relation for the ΛCDM model, changing only the r(z) relation for that in the listed void model. The effect of the r(z) relation on the shape of the LF is found to be much less relevant than that of the d_L(z) relation.