Q-sin sub q
From specialfunctionswiki
(Redirected from Q-sin)
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): $(6.201)$
