A NEW LOOK AT THE Q-DEFORMED CALCULUS

In view of the possible relevance of the q-calculus based on Jackson's q-derivative operator D(q)F(x) = F(qx) - F(x)/(q - 1)x in the phenome nological applications of quantum algebras it is pointed out that for real q(> 1) such that (q - 1) almost-equal-to O there is a formal corr espondence, up to first order in (q - 1), between the q-calculus and t he calculus that can be developed assuming that the changes in x may b e governed by an approximate stochastic process.