Difference between revisions of "Forward box plus"

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m (Tom moved page Forward boxplus to Forward box plus)
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Let $\mathbb{T}$ be a [[time scale]]. We define the (forward) boxplus operation $\boxplus_{\mu}$ by  
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Let $\mathbb{T}$ be a [[time scale]]. We define the (forward) box plus operation $\boxplus_{\mu}$ by  
 
$$\left( p \boxplus_{\mu} q \right)(t) := p(t)+q(t)+\dfrac{p(t)q(t)\mu(t)}{t},$$
 
$$\left( p \boxplus_{\mu} q \right)(t) := p(t)+q(t)+\dfrac{p(t)q(t)\mu(t)}{t},$$
 
where $\mu$ denotes the [[forward graininess]].
 
where $\mu$ denotes the [[forward graininess]].
  
 
=See also=
 
=See also=
[[Forward boxminus]]<br />
+
[[Forward box minus]]<br />
 
[[Gamma function]]
 
[[Gamma function]]
  
 
=References=
 
=References=

Revision as of 17:42, 15 January 2023

Let $\mathbb{T}$ be a time scale. We define the (forward) box plus operation $\boxplus_{\mu}$ by $$\left( p \boxplus_{\mu} q \right)(t) := p(t)+q(t)+\dfrac{p(t)q(t)\mu(t)}{t},$$ where $\mu$ denotes the forward graininess.

See also

Forward box minus
Gamma function

References