A linear ODE with constant coefficients can be easily solved once the roots of the auxiliary equation (or characteristic equation) are known. Some examples of this type ...
The simplest type of linear second-order ODE is one with constant coefficients. This linear second-order ODE has constant coefficients. Notice that the general solution is a ...
The functions described here are among the most commonly used continuous univariate statistical distributions. You can compute their densities, means, variances, and other ...
The utility functions FindMinimumPlot and FindRootPlot show search data for FindMinimum and FindRoot for one- and two-dimensional functions. They work with essentially the ...
All the functions FindMinimum, FindMaximum, and FindRoot take variable specifications of the same form. The function FindFit uses the same form for its parameter ...
AiryAi
(Built-in Mathematica Symbol) AiryAi[z] gives the Airy function Ai(z).
AiryBi
(Built-in Mathematica Symbol) AiryBi[z] gives the Airy function Bi(z).
BetaRegularized[z, a, b] gives the regularized incomplete beta function I_z (a, b).
EllipticK[m] gives the complete elliptic integral of the first kind K(m).
EllipticTheta[a, u, q] gives the theta function \[CurlyTheta]_a (u, q) (a = 1, ..., 4).