An analysis of the electronic specific heat and the thermodynamic critical magnetic field as a function of the temperature is carried out in the cases of gap with isotropic-s, d and s+id symmetries. While the isotropic-s gap shows an exponential attenuation in the electronic superconducting specific heat for low temperatures (T T_c) the d-wave gap presents a quadratic dependence in a wide range of temperature and goes through a maximun at T<1 K. In the case of the s+id mixing a double peak transition has been obtained from the numerical computations. In the C_(en)(T)/T dependence a maximum at a certain temperature T~* is obtained which moves to the side of high temperatures when the Fermi level is far away from the van Hove singularity. The temperature dependence of the critical magnetic field presents a great departure from the parabolic law in the case of an isotropic-s gap while in the d-wave case, the mentioned dependence approaches the parabolic one.
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