GegenbauerC[n, m, x] gives the Gegenbauer polynomial C_n^(m)(x). GegenbauerC[n, x] gives the renormalized form lim_(m->0) C_n^(m)(x)/m.

When you enter a piece of input such as 2+2, Mathematica first recognizes the + as an operator and constructs the expression Plus[2,2], then uses the built-in rules for Plus ...

In Mathematica's unified symbolic framework, graphics are treated just like any other expression—to be displayed, arranged, annotated, or manipulated using any of ...

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

Mathematica provides a very convenient and natural way to create and manipulate continuous- and discrete-time models of scalar and multivariable systems using data objects. ...

If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...

WatsonUSquareTest[data] tests whether data is normally distributed using the Watson U^2 test.WatsonUSquareTest[data, dist] tests whether data is distributed according to dist ...

ImageAdd[image, x] adds an amount x to each channel value in image.ImageAdd[image_1, image_2] gives an image in which each pixel is the sum of the corresponding pixels in ...

PolynomialQ[expr, var] yields True if expr is a polynomial in var, and yields False otherwise. PolynomialQ[expr, {var_1, ...}] tests whether expr is a polynomial in the var_i.