JacobiSC[u, m] gives the Jacobi elliptic function sc(u | m).
JacobiSD[u, m] gives the Jacobi elliptic function sd(u | m).
WeierstrassP[u, {g_2, g_3}] gives the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).
Conjugate[z] or z\[Conjugate] gives the complex conjugate of the complex number z.
FixedPointList[f, expr] generates a list giving the results of applying f repeatedly, starting with expr, until the results no longer change.
Max
(Built-in Mathematica Symbol) Max[x_1, x_2, ...] yields the numerically largest of the x_i. Max[{x_1, x_2, ...}, {y_1, ...}, ...] yields the largest element of any of the lists.
Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...
ScalarTripleProduct[v_1, v_2, v_3] gives the scalar triple product of the three 3-vectors v_1, v_2 and v_3 in the default coordinate system. ScalarTripleProduct[v_1, v_2, ...
Cross
(Built-in Mathematica Symbol) Cross[a, b] gives the vector cross product of a and b.
DiscreteDelta[n_1, n_2, ...] gives the discrete delta function \[Delta] (n_1, n_2, ...), equal to 1 if all the n_i are zero, and 0 otherwise.