KleinInvariantJ (Built-in Mathematica Symbol)

KleinInvariantJ[\[Tau]] gives the Klein invariant modular elliptic function J(\[Tau]).

LegendreP (Built-in Mathematica Symbol)

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

Multinomial (Built-in Mathematica Symbol)

Multinomial[n_1, n_2, ...] gives the multinomial coefficient (n_1 + n_2 + ...)!/(n_1! n_2! ...).

Nearest (Built-in Mathematica Symbol)

Nearest[{elem_1, elem_2, ...}, x] gives the list of elem_i to which x is nearest. Nearest[{elem_1 -> v_1, elem_2 -> v_2, ...}, x] gives the v_i corresponding to the elem_i to ...

NevilleThetaN (Built-in Mathematica Symbol)

NevilleThetaN[z, m] gives the Neville theta function \[CurlyTheta]_n (z \[VerticalSeparator] m).

NevilleThetaS (Built-in Mathematica Symbol)

NevilleThetaS[z, m] gives the Neville theta function \[CurlyTheta]_s (z \[VerticalSeparator] m).

Riffle (Built-in Mathematica Symbol)

Riffle[{e_1, e_2, ...}, x] gives {e_1, x, e_2, x, ...}. Riffle[{e_1, e_2, ...}, {x_1, x_2, ...}] gives {e_1, x_1, e_2, x_2, ...}. Riffle[list, x, n] yields a list in which ...

Tuples (Built-in Mathematica Symbol)

Tuples[list, n] generates a list of all possible n-tuples of elements from list. Tuples[{list_1, list_2, ...}] generates a list of all possible tuples whose i\[Null] ...

VertexOutDegree (Built-in Mathematica Symbol)

VertexOutDegree[g] gives the list of vertex out-degrees for all vertices in the graph g.VertexOutDegree[g, v] gives the vertex out-degree for the vertex v.

Verification of the Solution (Mathematica Tutorial)

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...