  We construct Deformed Photon Added Nonlinear Coherent States (DPANCSs) by
application of the deformed creation operator upon the Nonlinear Coherent
States obtained as eigenstates of the deformed annihilation operator and by
application of a deformed displacement operator upon the vacuum state. We
evaluate some statistical properties like the Mandel parameter, Husimi and
Wigner functions for these states and analyze their differences, we give closed
analytical expressions for them. We found a profound difference in the
statistical properties of the DPANCSs obtained from the two above mentioned
generalizations.
