LerchPhi (Built-in Mathematica Symbol)

LerchPhi[z, s, a] gives the Lerch transcendent \[CapitalPhi] (z, s, a).

MomentEvaluate (Built-in Mathematica Symbol)

MomentEvaluate[mexpr, dist] evaluates formal moments in the moment expression mexpr on the distribution dist.MomentEvaluate[mexpr, list] evaluates formal moments and formal ...

MomentGeneratingFunction (Built-in Mathematica Symbol)

MomentGeneratingFunction[dist, t] gives the moment generating function for the symbolic distribution dist as a function of the variable t. MomentGeneratingFunction[dist, ...

RSolve (Built-in Mathematica Symbol)

RSolve[eqn, a[n], n] solves a recurrence equation for a[n]. RSolve[{eqn_1, eqn_2, ...}, {a_1[n], a_2[n], ...}, n] solves a system of recurrence equations. RSolve[eqn, a[n_1, ...

ToDiscreteTimeModel (Built-in Mathematica Symbol)

ToDiscreteTimeModel[sys, \[Tau]] gives the discrete-time approximation with sampling period \[Tau] of the continuous-time StateSpaceModel or TransferFunctionModel object ...

Associating Definitions with Different ... (Mathematica Tutorial)

When you make a definition in the form f[args]=rhs or f[args]:=rhs, Mathematica associates your definition with the object f. This means, for example, that such definitions ...

Abel Equations (Mathematica Tutorial)

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...

Introduction to Differential Equation ... (Mathematica Tutorial)

The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathematica function NDSolve, on the other hand, is a general numerical differential ...

Integrate (Built-in Mathematica Symbol)

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

Exp (Built-in Mathematica Symbol)

Exp[z] gives the exponential of z.