  The Fermi-Dirac and Bose-Einstein particles satisfy corresponding statistical
distributions. In the phenomena of charge fractionalization and the fractional
quantum Hall effect it is found that particles behave as if they are neither
fermions nor bosons. Such particles are called anyons. The integral functions
for bosons and fermions are available in the literature. However, there is no
anyon integral function available. In this note we propose a pair of functions
that interpolate, in some sense, between the gamma function and the zeta
function, which we call "gamma-zeta" functions. It is pointed out that this
pair of functions very naturally provides a representation of the anyon
integral function.
