FeynCalc manual (development version)

PlusDistribution

PlusDistribution[1/(1 - x)] denotes a distribution (in the sense of the “+” prescription).

See also

Overview, Integrate2.

Examples

PlusDistribution[1/(1 - x)]

\left(\frac{1}{1-x}\right)_+

PlusDistribution[Log[1 - x]/(1 - x)]

\left(\frac{\log (1-x)}{1-x}\right)_+

Integrate2[PlusDistribution[1/(1 - x)], {x, 0, 1}]

0

Integrate2[PlusDistribution[Log[1 - x]/(1 - x)], {x, 0, 1}]

0

Integrate2[PlusDistribution[Log[1 - x]^2/(1 - x)], {x, 0, 1}]

0

PlusDistribution[Log[x (1 - x)]/(1 - x)]

\frac{\log (x)}{1-x}+\left(\frac{\log (1-x)}{1-x}\right)_+