Binomial (Built-in Mathematica Symbol)

Binomial[n, m] gives the binomial coefficient ( { {n}, {m} } ).

Pochhammer (Built-in Mathematica Symbol)

Pochhammer[a, n] gives the Pochhammer symbol (a) n.

PolyGamma (Built-in Mathematica Symbol)

PolyGamma[z] gives the digamma function \[Psi](z). PolyGamma[n, z] gives the n\[Null]^th derivative of the digamma function \[Psi] (n) (z).

SymmetricReduction (Built-in Mathematica Symbol)

SymmetricReduction[f, {x_1, ..., x_n}] gives a pair of polynomials {p, q} in x_1, ..., x_n such that f == p + q, where p is the symmetric part and q is the ...

Algebraic Operations on Polynomials (Mathematica Tutorial)

For many kinds of practical calculations, the only operations you will need to perform on polynomials are essentially structural ones. If you do more advanced algebra with ...

BSplineBasis (Built-in Mathematica Symbol)

BSplineBasis[d, x] gives the zeroth uniform B-spline basis function of degree d at x.BSplineBasis[d, n, x] gives the n\[Null]^th uniform B-spline basis function of degree ...

GegenbauerC (Built-in Mathematica Symbol)

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.

Hypergeometric1F1 (Built-in Mathematica Symbol)

Hypergeometric1F1[a, b, z] is the Kummer confluent hypergeometric function \[Null]_1 F_1 (a; b; z).

LaguerreL (Built-in Mathematica Symbol)

LaguerreL[n, x] gives the Laguerre polynomial L_n (x). LaguerreL[n, a, x] gives the generalized Laguerre polynomial L_n^a(x).

NorlundB (Built-in Mathematica Symbol)

NorlundB[n, a] gives Nørlund polynomials B_n^(a) of degree n in a.NorlundB[n, a, x] gives generalized Bernoulli polynomials B_n^(a)(x).