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We study a sample of H$\beta$ emission line sources at $z\sim$0.9 to identifythe star-forming (SF) galaxies sample and characterise them in terms of lineluminosity, stellar mass, SFR, and morphology. The final aim is to obtain theH$\beta$ luminosity function (LF) of the SF galaxies at this redshift.  We used the instrument OSIRIS at GTC to obtain the pseudo spectra of emissionline sources in the OTELO field. From these pseudo spectra, we identified theobjects with H$\beta$ emission. As the resolution of the pseudo spectra allowedus to separate H$\beta$ from O[III], we derive the H$\beta$ flux withoutcontamination. Using data from the extended OTELO catalogue, we discriminatedAGNs and studied the SFR, the stellar mass, and the morphology of the SFgalaxies.  We find that our sample is located on the main sequence of SF galaxies. Thesources are morphologically classified, mostly as disc-like galaxies (76%), and90% of the sample are low-mass galaxies ($M_*<10^{10}\;\mathrm{M}_\odot$). Thelow-mass SF galaxies at $z \sim 0.9$ that were detected by OTELO presentsimilar properties as low-mass SF galaxies in the local universe, suggestingthat these kinds of objects do not have a favorite epoch of formation and starformation enhancement from $z \sim 1$ to now. Our sample of 40 H$\beta$ SFgalaxies includes the faintest H$\beta$ emitters detected so far. This allowsus to constrain the faint end of the LF for the H$\beta$ line alone with aminimum luminosity of $\log L = 39 \;\mathrm{erg\,s}^{-1}$, which is a hundredtimes fainter than previous surveys. The dust-corrected OTELO H$\beta$ LFestablished the faint-end slope as $\alpha =-1.36\pm 0.15$. We increased thescope of the analysis to the bright end by adding ancillary data from theliterature, which was not dust-corrected in this case. The obtained slope forthis extended LF is $\alpha = -1.43\pm 0.12$.

The OTELO survey: Revealing a population of low-luminosity current/active star-forming galaxies at z$\sim0.9$