Difference between revisions of "Gamma function of x boxplus one"
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Revision as of 18:00, 15 January 2023
Theorem
If $\mathbb{T}$ is a time scale and $s \in \mathbb{T}^+$, then for all $x \in \mathbb{R}^+$, $$\Gamma_{\mathbb{T}}(x \boxplus_{\mu} 1;s) = \dfrac{x}{s} \Gamma_{\mathbb{T}}(x;s),$$ where $\Gamma_{\mathbb{T}}$ denotes the gamma function.
