  We consider the XXZ spin chain in the scaling limit in the Matsubara
direction. The main result of this paper is new representations for the
functions $\Psi(l, \kappa)$ and $\Theta(l, m; \kappa, \alpha)$ associated with
the function $\omega(\zeta, \xi; \kappa, \kappa)$ found in the expression for
the correlation function of the generators of the fermionic basis for the XXZ
spin chain. The final result incorporates the case of particle-hole excitations
which is needed for the relation of the fermionic basis to the Virasoro basis
of the CFT descendants.
