HarmonicNumber[n] gives the n\[Null]^th harmonic number H_n. HarmonicNumber[n, r] gives the harmonic number H_n^(r) of order r.

InputForm[expr] prints as a version of expr suitable for input to Mathematica.

InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...

LegendreP[n, x] gives the Legendre polynomial P_n (x). LegendreP[n, m, x] gives the associated Legendre polynomial P_n^m(x).

Listable is an attribute that can be assigned to a symbol f to indicate that the function f should automatically be threaded over lists that appear as its arguments.

NestList[f, expr, n] gives a list of the results of applying f to expr 0 through n times.

Nest[f, expr, n] gives an expression with f applied n times to expr.

NestWhileList[f, expr, test] generates a list of the results of applying f repeatedly, starting with expr, and continuing until applying test to the result no longer yields ...

NestWhile[f, expr, test] starts with expr, then repeatedly applies f until applying test to the result no longer yields True. NestWhile[f, expr, test, m] supplies the most ...

PadLeft[list, n] makes a list of length n by padding list with zeros on the left. PadLeft[list, n, x] pads by repeating the element x. PadLeft[list, n, {x_1, x_2, ...}] pads ...