  In this note we derive the Q-difference Bernoulli-Taylor formula with the
rest term of the Cauchy form by the Viskov's method. This is an extension of
technique by the use of Q-extented Kwasniewski's *-product . The main theorems
of Q-umbral calculus were given by G. Markowsky in 1968 and extented by
A.K.Kwasniewski.
