Nabla cosine

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Let $\mathbb{T}$ be a time scale and $p \in C_{ld}$ and $-\nu p^2 \in \mathcal{R}_{\nu}$.

$${\hat{\cos}_p(t,s)}=\dfrac{\hat{e}_{ip}(t,s)+\hat{e}_{-ip}(t,s)}{2}$$

References

$\nabla$-special functions on time scales

$\nabla$-$\widehat{\cos}_p$$\nabla-\widehat{\cosh}_p$$\nabla$-$\widehat{e}_p$$\nabla-h_k$$\nabla$-$g_k$$\nabla-\widehat{\sin}_p$$\nabla$-$\widehat{\sinh}_p$