CountRoots[poly, x] gives the number of real roots of the polynomial poly in x.CountRoots[poly, {x, a, b}] gives the number of roots between a and b.
LegendreP[n, x] gives the Legendre polynomial P_n (x). LegendreP[n, m, x] gives the associated Legendre polynomial P_n^m(x).
PadeApproximant[expr, {x, x_0, {m, n}}] gives the Padé approximant to expr about the point x = x_0, with numerator order m and denominator order n.PadeApproximant[expr, {x, ...
WeierstrassP[u, {g_2, g_3}] gives the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).
ErlangDistribution[k, \[Lambda]] represents the Erlang distribution with shape parameter k and rate \[Lambda].
BernoulliB[n] gives the Bernoulli number B_n. BernoulliB[n, x] gives the Bernoulli polynomial B_n (x).
FactorialMoment[list, r] gives the r\[Null]^th moment of the elements in the list.FactorialMoment[dist, r] gives the r\[Null]^th moment of the symbolic distribution ...
LevyDistribution[\[Mu], \[Sigma]] represents a Lévy distribution with location parameter \[Mu] and dispersion parameter \[Sigma].
General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...
RootLocusPlot[g, {k, k_min, k_max}] generates the root locus plot of a rational function g of k ranging from k_min to k_max.RootLocusPlot[sys, ...] plots the root loci of a ...