Schechter and power-law fits of the 2.05 < z < 3.75 Lyα LF. Left panel: Schechter best fit and 1σ confidence region for the fit of the full z range of this work (blue solid line and shaded area). We compare our result with the Schechter fits in Spinoso et al. (2020) for 4 NBs of J-PLUS. Our Schechter fit is in line with the fits in Spinoso et al. (2020) for z = 2.2, 2.5 and 3.2 at the faintest bins of our LF. We advise some caution when considering our results at the brightest luminosity (i.e., log₁₀(L_Lyα/erg s⁻¹) > 45.5). Indeed our results in this regime are limited by our survey area. Right panel: power-law fit to our Lyα LF at log₁₀(L_Lyα/erg s⁻¹) < 45.5. The bins of the LF represented with empty squares are not used in this fit in particular. We compare to the power-law fits in Matthee et al. (2017), Sobral et al. (2018) in the same L_Lyα regime. The shaded blue area marks the 1σ confidence region. Our constraint on the power-law slope A for the faint-end of the AGN Lyα LF is consistent with the other realizations shown in this plot within a 1σ confidence interval.