  In this manuscript, we investigate the thermal properties of the rotating
charged BTZ black hole under the gravity's rainbow (GR) and generalized
uncertainty principle (GUP) formalism. At first, we study the GR-corrected
thermal quantities according to the usual Heisenberg algebra. Then, we consider
a deformed algebra that leads to a change in the Heisenberg uncertainty
principle and compare the Hawking temperature, entropy, thermodynamical volume,
pressure, and heat capacity functions with the previous results. Thus, we
understand and interpret the quantum effects on the BTZ black hole.
