The unique non self-referential q-canonical distribution and the   physical temperature derived from the maximum entropy principle in Tsallis   statistics
  The maximum entropy principle in Tsallis statistics is reformulated in the mathematical framework of the q-product, which results in the unique non self-referential q-canonical distribution. As one of the applications of the present formalism, we theoretically derive the physical temperature which coincides with that already obtained in accordance with the generalized zeroth law of thermodynamics. 
Hiroki Suyari