Exton q-exponential

From specialfunctionswiki
Jump to: navigation, search

The Exton $q$-exponential $E_{\mathrm{Ext},q}(z)$ is given by $$E_{\mathrm{Ext},q}(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{q^{\frac{k(k-1)}{4}}}{[k]_q!} z^k,$$ where $[k]_q!$ denotes the q-factorial.

Properties

See Also

Q-exponential E sub q
Q-exponential E sub 1/q

References