Difference between revisions of "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.
 +
 +
=Properties=
 +
[[Gamma function on certain time scales at bracket number equals bracket factorial]]
  
 
=See also=
 
=See also=
 +
[[Gamma function]]
  
 
=References=
 
=References=
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 +
[[Category:Definition]]

Latest revision as of 12:53, 16 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

See also

Gamma function

References