WeberE (Built-in Mathematica Symbol)

WeberE[\[Nu], z] gives the Weber function E \[Nu] (z).WeberE[\[Nu], \[Mu], z] gives the associated Weber function E_\[Nu]^\[Mu](z).

Composition and Inversion of Power ... (Mathematica Tutorial)

When you manipulate power series, it is sometimes convenient to think of the series as representing functions, which you can, for example, compose or invert. Composition and ...

FixedStep Method for NDSolve (Mathematica Tutorial)

It is often useful to carry out a numerical integration using fixed step sizes. For example, certain methods such as "DoubleStep" and "Extrapolation" carry out a sequence of ...

NVariationalBound (Variational Methods Package Symbol)

NVariationalBound[f, u[x ], {x, x_min, x_max}, u_t, {a, a_0}, {b, b_0}, ...] numerically searches for values of the parameters a, b, ... of a trial function u_t, starting ...

ArcCosh (Built-in Mathematica Symbol)

ArcCosh[z] gives the inverse hyperbolic cosine cosh -1 (z) of the complex number z.

ArcSinh (Built-in Mathematica Symbol)

ArcSinh[z] gives the inverse hyperbolic sine sinh -1 (z) of the complex number z.

LegendreQ (Built-in Mathematica Symbol)

LegendreQ[n, z] gives the Legendre function of the second kind Q_n (z). LegendreQ[n, m, z] gives the associated Legendre function of the second kind Q_n^m(z).

SpheroidalPS (Built-in Mathematica Symbol)

SpheroidalPS[n, m, \[Gamma], z] gives the angular spheroidal function PS n, m (\[Gamma], z) of the first kind.

Defining Your Own Wavelet (Mathematica Tutorial)

You can define wavelets to plug into the wavelet analysis framework by using the correct template. A wavelet wave is of the form wfam[args], where wfam is the symbol that ...

InterpolateRoot (Function Approximations Package Symbol)

InterpolateRoot[lhs == rhs, {x, x_0, x_1}] searches for a numerical solution to the equation lhs == rhs using x_0 and x_1 as the first two values of x.