Difference between revisions of "Table:Delta hk"
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(Created page with "{| class="wikitable" |+Time Scale $h_k$ Monomials |- |$\mathbb{T}=$ |$h_k(t,t_0)=$ |- | $\mathbb{R}$ |$\dfrac{(t-t_0)^k}{k!}$ |- | $\mathbb{Z}$...") |
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{| class="wikitable" | {| class="wikitable" | ||
| − | |+Time Scale $h_k$ Monomials | + | |+[[Table:Time scale hk monomials|Time Scale $h_k$ Monomials]] |
|- | |- | ||
|$\mathbb{T}=$ | |$\mathbb{T}=$ | ||
Revision as of 18:34, 21 March 2015
| $\mathbb{T}=$ | $h_k(t,t_0)=$ |
| $\mathbb{R}$ | $\dfrac{(t-t_0)^k}{k!}$ |
| $\mathbb{Z}$ | $\displaystyle{t-t_0 \choose k} = \dfrac{(t-t_0)!}{k! (t-t_0-k)!}$ |
| $h\mathbb{Z}$ | $\dfrac{1}{k!} \displaystyle\prod_{\ell=0}^{k-1}(t-\ell h-t_0)$ |
| $\mathbb{Z}^2$ | |
| $\overline{q^{\mathbb{Z}}}, q > 1$ | $\displaystyle\prod_{n=0}^{k-1} \dfrac{t-q^nt_0}{\sum_{i=0}^n q^i}$ |
| $\overline{q^{\mathbb{Z}}}, q < 1$ | |
| $\mathbb{H}$ |
