Difference between revisions of "Q-Cos"
From specialfunctionswiki
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=Properties= | =Properties= | ||
[[q-Euler formula for E sub q]]<br /> | [[q-Euler formula for E sub q]]<br /> | ||
| − | [[q-derivative of q- | + | [[q-derivative of q-Cosine]]<br /> |
=External links= | =External links= | ||
Latest revision as of 23:28, 26 June 2016
The function $\mathrm{Cos}_q$ is defined by $$\mathrm{Cos}_q(z)=\dfrac{E_q(iz)+E_q(-iz)}{2},$$ where $E_q$ denotes the $q$-exponential $E$.
Properties
q-Euler formula for E sub q
q-derivative of q-Cosine
External links
References
- 2012: Thomas Ernst: A Comprehensive Treatment of q-Calculus ... (previous) ... (next): (6.169)
