# Delta sinh

From timescalewiki

Let $p$ and $-\mu p^2$ be regressive functions. Then the $\Delta$ hyperbolic sine function is defined by $$\sinh_p(t,s) = \dfrac{e_p(t,s)-e_{-p}(t,s)}{2}.$$

# Properties

Derivative of delta sinh

Derivative of delta cosh

Delta cosh minus delta sinh

Delta hyperbolic trigonometric second order dynamic equation

$\cos_p$ |
$\cosh_p$ |
$e_p$ |
$g_k$ |
$h_k$ |
$\sin_p$ |
$\sinh_p$ |