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.

Constrained Optimization (Mathematica Overview)

Introduction Linear Optimization Numerical Nonlinear Local Optimization

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.

Erfc (Built-in Mathematica Symbol)

Erfc[z] gives the complementary error function erfc(z).

Erf (Built-in Mathematica Symbol)

Erf[z] gives the error function erf(z). Erf[z_0, z_1] gives the generalized error function erf(z_1) - erf(z_0).

FresnelC (Built-in Mathematica Symbol)

FresnelC[z] gives the Fresnel integral C(z).

FresnelS (Built-in Mathematica Symbol)

FresnelS[z] gives the Fresnel integral S(z).

JacobiCS (Built-in Mathematica Symbol)

JacobiCS[u, m] gives the Jacobi elliptic function cs(u | m).