On the Cut-Off Prescriptions Associated with Power-Law Generalized   Thermostatistics
  We revisit the cut-off prescriptions which are needed in order to specify completely the form of Tsallis' maximum entropy distributions. For values of the Tsallis entropic parameter $q>1$ we advance an alternative cut-off prescription and discuss some of its basic mathematical properties. As an illustration of the new cut-off prescription we consider in some detail the $q$-generalized quantum distributions which have recently been shown to reproduce various experimental results related to high $T_c$ superconductors. 
A.M. Teweldeberhan, A.R. Plastino and H.G. Miller