FeynHelpers manual (development version)

PaXContinuedDiLog

PaXContinuedDiLog corresponds to ContinuedDiLog in Package-X.

See also

Overview.

Examples

(*Just to load Package-X*)
  PaXEvaluate[A0[1]];

PaXContinuedDiLog uses X`ContinuedDiLog for numerical evaluations

PaXContinuedDiLog[{3.2, 1.0}, {1.1, 1.0}]

1.7089-1.7089

X`ContinuedDiLog[{3.2, 1.0}, {1.1, 1.0}]

1.7089-1.7089

The same goes for derivatives and series expansions

D[PaXContinuedDiLog[{x, xInf}, {y, yInf}], x]

y(log(x+i  xInfϵ)log(y+i  yInfϵ))1xy-\frac{y (-\log (x+i \;\text{xInf}\epsilon )-\log (y+i \;\text{yInf}\epsilon ))}{1-x y}

Series[PaXContinuedDiLog[{x, xInf}, {y, yInf}], {x, 1, 2}]

L2(1+i  xInfϵ,y+i  yInfϵ)(x1)ylog(y+i  yInfϵ)y1+(x1)2(y2log(y+i  yInfϵ)y2+y)2(y1)2+O((x1)3)\mathcal{L}_2(1+i \;\text{xInf}\epsilon ,y+i \;\text{yInf}\epsilon )-\frac{(x-1) y \log (y+i \;\text{yInf}\epsilon )}{y-1}+\frac{(x-1)^2 \left(y^2 \log (y+i \;\text{yInf}\epsilon )-y^2+y\right)}{2 (y-1)^2}+O\left((x-1)^3\right)