The wavefunction renormalization factor Z(k) of a hole injected in a h
alf-filled band in a. strongly correlated system in two dimensions is
evaluated analytically using the extended quasiparticle operator intro
duced by Dagotto and Schrieffer. A model Hamiltonian for such an exten
ded hole is proposed. We analytically calculate Z(k) for different par
ameter values and observe that the Z(k) value increases as compared wi
th what it would be if a bare hole operator is used. This is in confor
mity with the numerical observation of Dagotto and Schrieffer.