BarnesG
(Built-in Mathematica Symbol) BarnesG[z] gives the Barnes G-function G(z).
expr >>> filename appends expr to a file. PutAppend[expr_1, expr_2, ..., " filename"] appends a sequence of expressions expr_i to a file.
JacobiNS[u, m] gives the Jacobi elliptic function ns(u | m).
ResetDirectory[] resets the current working directory to its previous value.
Beta
(Built-in Mathematica Symbol) Beta[a, b] gives the Euler beta function \[CapitalBeta](a, b). Beta[z, a, b] gives the incomplete beta function \[CapitalBeta]_z (a, b).
Together[expr] puts terms in a sum over a common denominator, and cancels factors in the result.
RecurrenceTable[eqns, expr, {n, n_max}] generates a list of values of expr for successive n based on solving the recurrence equations eqns.RecurrenceTable[eqns, expr, nspec] ...
Lists are normally specified in Mathematica just by giving explicit lists of their elements. But particularly in working with large arrays, it is often useful instead to be ...
RescalingTransform[{{x_min, x_max}, {y_min, y_max}, ...}, {{xp_min, xp_max}, ...}] gives a TransformationFunction that rescales the region with coordinate ranges x_min to ...
JacobiDS[u, m] gives the Jacobi elliptic function ds(u | m).