JacobiP (Built-in Mathematica Symbol)

JacobiP[n, a, b, x] gives the Jacobi polynomial P_n^(a, b)(x).

JacobiSymbol (Built-in Mathematica Symbol)

JacobiSymbol[n, m] gives the Jacobi symbol (n/m).

LeafCount (Built-in Mathematica Symbol)

LeafCount[expr] gives the total number of indivisible subexpressions in expr.

MathieuC (Built-in Mathematica Symbol)

MathieuC[a, q, z] gives the even Mathieu function with characteristic value a and parameter q.

PartitionsP (Built-in Mathematica Symbol)

PartitionsP[n] gives the number p (n) of unrestricted partitions of the integer n.

Pi (Built-in Mathematica Symbol)

Pi is \[Pi], with numerical value \[TildeEqual] 3.14159.

SphericalHarmonicY (Built-in Mathematica Symbol)

SphericalHarmonicY[l, m, \[Theta], \[Phi]] gives the spherical harmonic Y_l^m(\[Theta], \[Phi]).

StirlingS1 (Built-in Mathematica Symbol)

StirlingS1[n, m] gives the Stirling number of the first kind S_n^(m).

StringReplacePart (Built-in Mathematica Symbol)

StringReplacePart["string", " snew", {m, n}] replaces the characters at positions m through n in " string" by " snew". StringReplacePart["string", " snew", {{m_1, n_1}, {m_2, ...

Constructing Matrices (Mathematica Tutorial)

Functions for constructing matrices. This generates a 2×2 matrix whose i,j^th entry is a[i,j]. Here is another way to produce the same matrix.