Difference between revisions of "Limit of q-exponential E sub 1/q for 0 less than q less than 1"
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Revision as of 02:39, 20 June 2016
Theorem
The following formula holds for $0 < q < 1$: $$\displaystyle\lim_{t \rightarrow \infty} E_{\frac{1}{q}}(t)=\infty,$$ where $E_{\frac{1}{q}}$ denotes the $q$-exponential $E_{\frac{1}{q}}$.
Proof
References
- 2012: Thomas Ernst: A Comprehensive Treatment of q-Calculus ... (previous): (6.156)