BesselY (Built-in Mathematica Symbol)

BesselY[n, z] gives the Bessel function of the second kind Y_n (z).

EllipticNomeQ (Built-in Mathematica Symbol)

EllipticNomeQ[m] gives the nome q corresponding to the parameter m in an elliptic function.

InverseErfc (Built-in Mathematica Symbol)

InverseErfc[s] gives the inverse complementary error function obtained as the solution for z in s = erfc(z).

SpheroidalEigenvalue (Built-in Mathematica Symbol)

SpheroidalEigenvalue[n, m, \[Gamma]] gives the spheroidal eigenvalue with degree n and order m.

SpheroidalQS (Built-in Mathematica Symbol)

SpheroidalQS[n, m, \[Gamma], z] gives the angular spheroidal function QS n, m (\[Gamma], z) of the second kind.

Linear Systems of ODEs (Mathematica Tutorial)

Here is a system of two ODEs whose coefficient matrix has real and distinct eigenvalues. This solves the system. Note that the general solution depends on two arbitrary ...

Sech (Built-in Mathematica Symbol)

Sech[z] gives the hyperbolic secant of z.

Band (Built-in Mathematica Symbol)

Band[{i, j}] represents the sequence of positions on the diagonal band that starts with {i, j} in a sparse array.Band[{i_min, j_min, ...}, {i_max, j_max, ...}] represents the ...

Dot (Built-in Mathematica Symbol)

a.b.c or Dot[a, b, c] gives products of vectors, matrices, and tensors.

Eigenvalues (Built-in Mathematica Symbol)

Eigenvalues[m] gives a list of the eigenvalues of the square matrix m. Eigenvalues[{m, a}] gives the generalized eigenvalues of m with respect to a. Eigenvalues[m, k] gives ...