  We investigate the effect of noncommutativity and quantum corrections to the
temperature and entropy of a BTZ black hole based on a Lorentzian distribution
with the generalized uncertainty principle (GUP). To determine the Hawking
radiation in the tunneling formalism we apply the Hamilton-Jacobi method by
using the Wentzel-Kramers-Brillouin (WKB) approach. In the present study we
have obtained logarithmic corrections to entropy due to the effect of
noncommutativity and GUP. We also address the issue concerning stability of the
non-commutative BTZ black hole by investigating its modified specific heat
capacity.
