Euler-Jackson q-difference operator
From specialfunctionswiki
The Euler-Jackson $q$-difference operator applied to a function $f$ is given by the formula $$(D_q f)(x)=\dfrac{f(x)-f(qx)}{(1-q)x}.$$
The Euler-Jackson $q$-difference operator applied to a function $f$ is given by the formula $$(D_q f)(x)=\dfrac{f(x)-f(qx)}{(1-q)x}.$$
