STransformPackage(R, UTSR, ULSR, UPSR)ΒΆ

distro.spad line 877

A package to computes Taylor and Puiseux series of S-transforms.

distributionBySTransform: UPSR -> Distribution R
of the distributions x if the mean is zero distributionBySTransform(x) returns the distribution with S-transform x.
freeMultiplicativeConvolution: (Distribution R, Distribution R) -> Distribution R
freeMultiplicativeConvolution(x, y) returns the free multiplicative convolution of the distributions x and y.
STransform1: Distribution R -> UTSR
STransform(x) returns the Taylor expansion the S-transform S(z) of the distribution x if the mean is nonzero.
STransform2: Distribution R -> UPSR
STransform(x) returns the Puiseux expansion of the S-transform S(z) if the mean is zero.
STransform: Distribution R -> UPSR
STransform(x) returns the Puiseux expansion of the S-transform S(z).