Table:Time scale delta sine functions
From timescalewiki
$\mathbb{T}$ | $\sin$$_p(t,s)= $ |
$\mathbb{R}$ | |
$\mathbb{Z}$ | $\dfrac{\displaystyle\prod_{k=t_0}^{t-1}1+ip(k) - \displaystyle\prod_{k=t_0}^{t-1}1-ip(k)}{2i}$ |
$h\mathbb{Z}$ | |
$\mathbb{Z}^2$ | |
$\overline{q^{\mathbb{Z}}}, q > 1$ | |
$\overline{q^{\mathbb{Z}}}, q < 1$ | |
$\mathbb{H}$ |