  A one-parameter generalized fermion algebra ${\cal B}_{\kappa}(1)$ is
introduced. The Fock representation is studied. The associated coherent states
are constructed and the polynomial representation, in the Bargmann sense, is
derived. A special attention is devoted to the limiting case $\kappa
\rightarrow 0$ where the fermionic coherent states, labeled by Grassmann
variables, are obtained. The physical relevance of the algebra is illustrated
throughout Calogero-Sutherland system.
