Generalized quantal distribution functions within factorization approach: Some general results for bosons and fermions

The generalized quantal distribution functions are investigated concerning systems of non-interacting bosons and fermions. The formulae for the number of particles and energy are presented and applications to the Chandrasekhar limit of white dwarfs stars and to the Bose-Einstein condensation are commented.Comment: 10 pages, prl revtex style, 2 ps figure