Difference between revisions of "Bracket factorial"
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Revision as of 18:03, 15 January 2023
Let $\mathbb{T}$ be a time scale. Define the bracket factorial by $$[n]_{\mathbb{T}}! = \left\{ \begin{array}{ll} 1&; n=0 \\ \displaystyle\prod_{j=1}^n [j]_{\mathbb{T}} &; n=1,2,\ldots \end{array} \right.,$$ where $[j]_{\mathbb{T}}$ denotes a bracket number.
