Difference between revisions of "Delta sine"

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(Created page with "{| class="wikitable" |+Time Scale Sine Functions |- |$\mathbb{T}$ | |- | $\mathbb{R}$ |$\sin_p(t,s)= $ |- | $\mathbb{Z}$ |$\sin_p(t,s) = \dfra...")
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Revision as of 06:03, 1 March 2015

Time Scale Sine Functions
$\mathbb{T}$
$\mathbb{R}$ $\sin_p(t,s)= $
$\mathbb{Z}$ $\sin_p(t,s) = \dfrac{\displaystyle\prod_{k=t_0}^{t-1}1+ip(k) - \displaystyle\prod_{k=t_0}^{t-1}1-ip(k)}{2i}$
$h\mathbb{Z}$ $\sin_p(t,s) = $
$\mathbb{Z}^2$ $\sin_p(t,s) = $
$\overline{q^{\mathbb{Z}}}, q > 1$ $\sin_p(t,s) = $
$\overline{q^{\mathbb{Z}}}, q < 1$ $\sin_p(t,s) =$
$\mathbb{H}$ $\sin_p(t,s) = $