Inhomogeneous Linear Second-Order ... (Mathematica Tutorial)

If the given second-order ODE is inhomogeneous, DSolve applies the method of variation of parameters to return a solution for the problem. This solves an inhomogeneous linear ...

QGamma (Built-in Mathematica Symbol)

QGamma[z, q] gives the q-gamma function \[CapitalGamma]_q (z).

Lighting and Surface Properties (Mathematica Tutorial)

With the default option setting Lighting->Automatic, Mathematica uses a simulated lighting model to determine how to color polygons in three-dimensional graphics. Mathematica ...

BSplineFunction (Built-in Mathematica Symbol)

BSplineFunction[{pt_1, pt_2, ...}] represents a B-spline function for a curve defined by the control points pt_i.BSplineFunction[array] represents a B-spline function for a ...

Is the Problem Well-Posed? (Mathematica Tutorial)

DSolve returns a general solution for a problem if no initial or boundary conditions are specified. The general solution to this equation is returned. However, if initial or ...

Mathematica Session Information (Mathematica Guide)

Mathematica gives you immediate access to many details of your Mathematica session—in the form of symbolic expressions that can readily be manipulated by the Mathematica ...

LerchPhi (Built-in Mathematica Symbol)

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

Permutation Groups (Mathematica Tutorial)

Groups admit many different representations. In particular, all finite groups can be represented as permutation groups, that is, they are always isomorphic to a subgroup of ...

PolyGamma (Built-in Mathematica Symbol)

PolyGamma[z] gives the digamma function \[Psi](z). PolyGamma[n, z] gives the n\[Null]^th derivative of the digamma function \[Psi] (n) (z).

Exact Global Optimization (Mathematica Tutorial)

Exact global optimization problems can be solved exactly using Minimize and Maximize. This computes the radius of the circle, centered at the origin, circumscribed about the ...