Directly integrated into the Mathematica language is a convenient symbolic options mechanism that allows arbitrary sequences of named parameters to be given to both built-in ...

Hypergeometric2F1Regularized[a, b, c, z] is the regularized hypergeometric function \[Null]_2 F_1 (a, b; c; z)/\[CapitalGamma](c).

ChebyshevT[n, x] gives the Chebyshev polynomial of the first kind T_n (x).

Density and contour plots. This gives a density plot of sin(x) sin(y). Lighter regions show higher values of the function. Some options for DensityPlot.

The MathLink library contains an extensive collection of C functions that allow arbitrary data and structure to be exchanged with Mathematica, and provide detailed control of ...

The names of built-in functions follow some general guidelines. The main expression or object on which a built-in function acts is usually given as the first argument to the ...

Mathematica includes functionality to factor polynomials symbolically.

ChebyshevU[n, x] gives the Chebyshev polynomial of the second kind U_n (x).

WaveletPhi[wave, x] gives the scaling function \[Phi](x) for the symbolic wavelet wave evaluated at x.WaveletPhi[wave] gives the scaling function as a pure function.

Introduction Finding Expressions That Match a Pattern Naming Pieces of Patterns