Q-exponential E sub 1/q

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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