Coefficient[expr, form] gives the coefficient of form in the polynomial expr. Coefficient[expr, form, n] gives the coefficient of form^n in expr.
FactorSquareFree[poly] pulls out any multiple factors in a polynomial.
Mathematica immediately allows you to do arithmetic not only with individual numbers, but also with arbitrary lists or arrays—as well as symbolic and algebraic forms. ...
PowerSymmetricPolynomial[r] represents a formal power symmetric polynomial with exponent r.PowerSymmetricPolynomial[{r_1, r_2, ...}] represents a multivariate formal power ...
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 ...
Reduce
(Built-in Mathematica Symbol) Reduce[expr, vars] reduces the statement expr by solving equations or inequalities for vars and eliminating quantifiers. Reduce[expr, vars, dom] does the reduction over the ...
DifferentialRoot[lde] represents a function that solves the linear differential equation specified by lde[y, x].
DifferenceRoot[lde] represents a function that solves the linear difference equation specified by lde[a, n].
Two decades of intense R&D at Wolfram Research have given Mathematica by far the world's broadest and deepest coverage of special functions—and greatly expanded the whole ...
InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.