DifferenceRoot[lde] represents a function that solves the linear difference equation specified by lde[a, n].

DifferentialRoot[lde] represents a function that solves the linear differential equation specified by lde[y, x].

Discriminant[poly, var] computes the discriminant of the polynomial poly with respect to the variable var.Discriminant[poly, var, Modulus -> p] computes the discriminant ...

Mathematica has fundamental support for both explicit complex numbers and symbolic complex variables. All applicable mathematical functions support arbitrary-precision ...

CharacteristicPolynomial[m, x] gives the characteristic polynomial for the matrix m. CharacteristicPolynomial[{m, a}, x] gives the generalized characteristic polynomial with ...

Some integer functions. The remainder on dividing 17 by 3. The integer part of 17/3.

DifferenceRootReduce[expr, n] attempts to reduce expr to a single DifferenceRoot object as a function of n.

Mathematica includes functions for performing a variety of specific algebraic transformations. Some are algorithmically straightforward; others include highly sophisticated ...

Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...

Mathematica includes all the common special functions of mathematical physics found in standard handbooks. Each of the various classes of functions is discussed in turn. One ...