Difference between revisions of "Limit of q-exponential E sub 1/q for 0 less than q less than 1"

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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=}}: ($6.156$)
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* {{BookReference|A Comprehensive Treatment of q-Calculus|2012|Thomas Ernst|prev=Product representation of q-exponential E sub 1/q|next=findme}}: ($6.156$)
  
 
[[Category:Theorem]]
 
[[Category:Theorem]]
 
[[Category:Unproven]]
 
[[Category:Unproven]]

Latest 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