The Padé approximation is a rational function that can be thought of as a generalization of a Taylor polynomial. A rational function is the ratio of polynomials. Because ...

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

Definitions such as f[x_]=x^2 specify values for functions. Sometimes, however, you need to specify general properties of functions, without necessarily giving explicit ...

JacobiZeta[\[Phi], m] gives the Jacobi zeta function Z(\[Phi] \[VerticalSeparator] m).

LaplaceTransform[expr, t, s] gives the Laplace transform of expr. LaplaceTransform[expr, {t_1, t_2, ...}, {s_1, s_2, ...}] gives the multidimensional Laplace transform of ...

NestWhile[f, expr, test] starts with expr, then repeatedly applies f until applying test to the result no longer yields True. NestWhile[f, expr, test, m] supplies the most ...

ParameterEstimator is an option to EstimatedDistribution and FindDistributionParameters that specifies what parameter estimator to use.

ParameterMixtureDistribution[dist[\[Theta]], \[Theta] \[Distributed] wdist] represents a parameter mixture distribution where the parameter \[Theta] is distributed according ...

GompertzMakehamDistribution[\[Lambda], \[Xi]] represents a Gompertz distribution with scale parameter \[Lambda] and frailty parameter ...

Mathematica allows data stored in standard systems formats to be analyzed and synthesized using the full power of Mathematica.