Difference between revisions of "Forward box plus"
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| − | Let $\mathbb{T}$ be a [[time scale]]. We define the (forward) | + | 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]]. | ||
| + | |||
| + | =Properties= | ||
| + | [[Gamma function of x boxplus one]] | ||
=See also= | =See also= | ||
| − | [[Forward | + | [[Forward box minus]]<br /> |
[[Gamma function]] | [[Gamma function]] | ||
=References= | =References= | ||
Latest revision as of 18:08, 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.
Properties
Gamma function of x boxplus one
See also
Forward box minus
Gamma function
