  The Haldane-Wu exclusion statistics is considered from the generalized
extensive statistics point of view and certain related mathematical aspects are
investigated. A series representation for the corresponding generating function
is proven. Equivalence of two formulae for the central charge, derived for the
Haldane-Wu statistics via the thermodynamic Bethe ansatz, is established. As a
corollary, a series representation with a free parameter for the Rogers
dilogarithm is found. It is shown that the generating function, the entropy,
and the central charge for the Gentile statistics majorize those for the
Haldane-Wu statistics (under appropriate choice of parameters). From this, some
dilogarithm inequality is derived.
