Difference between revisions of "Q-sin sub q"
From specialfunctionswiki
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=Properties= | =Properties= | ||
[[q-Euler formula for e sub q]]<br /> | [[q-Euler formula for e sub q]]<br /> | ||
| + | [[Series for q-sin sub q]]<br /> | ||
=External links= | =External links= | ||
Revision as of 15:37, 11 July 2016
The function $\sin_q$ is defined for $|z|<1$ by $$\sin_q(z)=\dfrac{e_q(iz)-e_q(-iz)}{2i},$$ where $e_q$ denotes the $q$-exponential $e$ and $(q;q)_{2k+1}$ denotes the $q$-Pochhammer symbol.
Properties
q-Euler formula for e sub q
Series for q-sin sub q
External links
References
- 2012: Thomas Ernst: A Comprehensive Treatment of q-Calculus ... (previous) ... (next): $(6.201)$
