Difference between revisions of "Limit of q-exponential E sub 1/q for 0 less than q less than 1"
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(Created page with "==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-expone...") |
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==References== | ==References== | ||
− | * {{BookReference|A Comprehensive Treatment of q-Calculus|2012|Thomas Ernst|prev=Product representation of q-exponential E sub 1/q|next=}}: (6.156) | + | * {{BookReference|A Comprehensive Treatment of q-Calculus|2012|Thomas Ernst|prev=Product representation of q-exponential E sub 1/q|next=}}: ($6.156$) |
[[Category:Theorem]] | [[Category:Theorem]] | ||
[[Category:Unproven]] | [[Category:Unproven]] |
Revision as of 07:41, 18 December 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): ($6.156$)