Q-exponential E sub 1/q

From specialfunctionswiki
Jump to: navigation, search

The $E_{\frac{1}{q}}$ function is defined by the formula $$E_{\frac{1}{q}}(z) = \displaystyle\sum_{k=0}^{\infty} \dfrac{q^{\frac{k(k-1)}{2} }}{[k]_q!} z^k.$$

Properties[edit]

q-exponential E sub q in terms of binomial coefficient
Q-difference equation for q-exponential E sub 1/q

See Also[edit]

Q-exponential E sub q

References[edit]