Forward box plus

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

Properties

Gamma function of x boxplus one

See also

Forward box minus
Gamma function

References