Cosmic evolution of the Hα LF Schechter parameters. Our best-fit values are compared to previous results at lower redshifts: Stroe & Sobral (2015) at z ∼ 0.2; Sobral et al. (2013) at z ∼ 0.4, 0.84, 1.47, and 2.23; Terao et al. (2022) at z ∼ 2.3; and Bollo et al. (2023) at z ∼ 4.4. Filled circles represent the parameters of observed Hα LFs, while open circles are for dust-corrected fits. For those studies that only reported the Schechter parameters of dust-corrected measurements, we inferred the log L^* parameter by reversing the dust correction applied, and show those values as fainter solid circles.