Difference between revisions of "Q-exponential E sub 1/q"
From specialfunctionswiki
| Line 7: | Line 7: | ||
=References= | =References= | ||
| − | * {{BookReference|A Comprehensive Treatment of q-Calculus|2012|Thomas Ernst|prev=Q-difference equation for q-exponential E sub q|next=Q-difference equation for q-exponential E sub 1/q}}: (6.153) | + | * {{BookReference|A Comprehensive Treatment of q-Calculus|2012|Thomas Ernst|prev=Q-difference equation for q-exponential E sub q|next=Q-difference equation for q-exponential E sub 1/q}}: ($6.153$) |
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 07:40, 18 December 2016
The $E_{\frac{1}{q}}$ function is defined by the formula $$E_{\frac{1}{q}}(z) = \displaystyle\sum_{k=0}^{\infty} \dfrac{q^{ {k \choose 2} }}{[k]_q!} z^k.$$
Properties
Q-difference equation for q-exponential E sub 1/q
References
- 2012: Thomas Ernst: A Comprehensive Treatment of q-Calculus ... (previous) ... (next): ($6.153$)
