Difference between revisions of "Bracket number"
From timescalewiki
m (Tom moved page Bracket numbers to Bracket number) |
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\end{array} \right.,$$ | \end{array} \right.,$$ | ||
where $\boxplus$ denotes the [[forward box plus]] operation. | where $\boxplus$ denotes the [[forward box plus]] operation. | ||
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| + | =Properties= | ||
| + | [[Gamma function on certain time scales at bracket number equals bracket factorial]] | ||
=See also= | =See also= | ||
Revision as of 18:07, 15 January 2023
Let $\mathbb{T}$ be a time scale and define the bracket numbers (they are actually functions) by $$[n]_{\mathbb{T}} = \left\{ \begin{array}{ll} 0 &; n=0 \\ [n-1]_{\mathbb{T}} \boxplus_{\mu} 1 &; n=1,2,\ldots \end{array} \right.,$$ where $\boxplus$ denotes the forward box plus operation.
Properties
Gamma function on certain time scales at bracket number equals bracket factorial
