SFR functions per redshift bin from z = 0.05 to z = 2.05. The black- and red-filled circles correspond to the HSC-CLAUDS data with and without the stacking correction. The short-dashed black and long-dashed red lines correspond to the best-fitted Schechter functions assuming a fixed slope parameter (α = −1.3). The gray area corresponds at the bright end to the Eddington correction and at the faint end to the slope uncertainty (Δα = 0.1). The orange areas represent the SFR functions based on the SFR derived from the COSMOS2020 FIR data set. In the top panels, the SFR range is translated by 1 dex to make the low-SFR regime of the SFRFs visible.