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We investigate further the recent analysis \cite{R.Banerjee2}, based on aHamilton-Jacobi type approach, to compute the temperature and entropy of blackholes beyond the semiclassical approximation. It is shown how non sphericallysymmetric geometries are inducted in the general formalism by explicitlyconsidering the BTZ black hole. The leading (logarithmic) and non leadingcorrections to the area law are obtained.

Corrected entropy of BTZ black hole in tunneling approach