RT Journal Article T1 The OTELO survey II. The faint-end of the Hα luminosity function at z ∼ 0.40 A1 Ramón-Pérez, Marina A1 Bongiovanni, Ángel A1 Pérez García, Ana María A1 Cepa, Jordi A1 Nadolny, Jakup A1 Pintos-Castro, Irene A1 Lara-López, Maritza A. A1 Alfaro, Emilio J. A1 Castañeda, Héctor O. A1 Cerviño, Miguel A1 Diego, José A. A1 Fernández-Lorenzo, Mirian A1 Gallego Maestro, Jesús A1 González, J. Jesús A1 González-Serrano, J. Ignacio A1 Oteo Gómez, Iván A1 Pérez Martínez, Ricardo A1 Povic, Mirjana A1 Sánchez-Portal, Miguel AB Aims. We take advantage of the capability of the OTELO survey to obtain the Hα luminosity function (LF) at z ∼ 0.40. Because of the deepest coverage of OTELO, we are able to determine the faint end of the LF, and thus better constrain the star formation rate and the number of galaxies at low luminosities. The AGN contribution to this LF is estimated as well.Methods. We make use of the multiwavelength catalogue of objects in the field compiled by the OTELO survey, which is unique in terms of minimum flux and equivalent width. We also take advantage of the pseudo-spectra built for each source, which allow the identification of emission lines and the discrimination of different types of objects.Results. The Hα luminosity function at z ∼ 0.40 is obtained, which extends the current faint end by almost 1 dex, reaching minimal luminosities of log_(10) L_(lim) = 38.5 erg s^(−1) (or ∼0.002 Mꙩ yr^(−1) ). The AGN contribution to the total Hα luminosity is estimated. We find that no AGN should be expected below a luminosity of log10 L = 38.6 erg s^(−1) . From the sample of non-AGN (presumably, pure SFG) at z ∼ 0.40 we estimated a star formation rate density of ρ_(SFR) = 0.012 ± 0.005 Mꙩ yr^(−1) Mpc^(−3). PB EDP Sciencies SN 0004-6361 YR 2019 FD 2019-10-14 LK https://hdl.handle.net/20.500.14352/12460 UL https://hdl.handle.net/20.500.14352/12460 LA eng NO © ESO 2019. This work was supported by the Spanish Ministry of Economy and Competitiveness (MINECO) under the grants AYA2013 - 46724 - P, AYA2014 - 58861 - C3 - 1 - P, AYA2014 - 58861 - C3 - 2 - P, AYA2014 - 58861 - C3 - 3 - P, AYA2016 - 75808 - R, AYA2016 - 75931 - C2 - 2 - P, AYA2017 - 88007 - C3 - 1 - P, and AYA2017 - 88007 - C3 - 2 - P. Based on observations made with the Gran Telescopio Canarias installed in the Spanish Observatorio del Roque de los Muchachos of the Instituto de Astrofísica de Canarias, in the island of La Palma. The authors thanks the anonymous referee for her/his feedback and suggestions. NO Ministerio de Economía y Competitividad (MINECO) DS Docta Complutense RD 28 abr 2024