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The differential equation for Boltzmann's function is replaced by thecorresponding discrete finite difference equation. The difference equation is,then, symmetrized so that the equation remains invariant when step d isreplaced by -d. The solutions of this equation come in Boson-Fermion pairs.Reciprocal symmetric Boltzmann's function, thus, unifies both Bosonic andFermionic distributions.

Reciprocal Symmetric Boltzmann Function and Unified Boson-Fermion Statistics