Latest revision as of 00:49, 15 September 2016

The function $\mathrm{Sin}_q$ is defined by $$\mathrm{Sin}_q(z)=\dfrac{E_q(iz)-E_q(-iz)}{2i},$$ where $E_q$ denotes the $q$-exponential $E_q$.

Properties

@@ Line 6: / Line 6: @@
 [[q-Euler formula for E sub q]]<br />
 [[q-derivative of q-Sine]]<br />
-<div class="toccolours mw-collapsible mw-collapsed">
-<strong>Theorem:</strong> The [[general solution]] of the [[q-difference equation|$q$-difference equation]] $D_q^2 y(x) + k^2 y(x) = 0$
-is $y(x)=c_1 \mathrm{Cos}_q(kz) + c_2 \mathrm{Sin}_q(kz).$
-<div class="mw-collapsible-content">
-<strong>Proof:</strong> █
-</div>
-</div>
 =External links=