View source for Product representation of q-exponential E sub 1/q

==Theorem==
The following formula holds for $0 \leq |q| \leq 1$:
$$E_{\frac{1}{q}}(z) = \displaystyle\prod_{k=0}^{\infty} \left[ 1 + (1-q)zq^k \right],$$
where $E_{\frac{1}{q}}$ denotes the [[Q-exponential E sub 1/q|$q$-exponential $E_{\frac{1}{q}}$]].

==Proof==

==References==
* {{BookReference|A Comprehensive Treatment of q-Calculus|2012|Thomas Ernst|prev=Q-difference equation for q-exponential E sub 1/q|next=Limit of q-exponential E sub 1/q for 0 less than q less than 1}}: ($6.155$)

[[Category:Theorem]]
[[Category:Unproven]]