KleinInvariantJ (Built-in Mathematica Symbol)

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

PolyLog (Built-in Mathematica Symbol)

PolyLog[n, z] gives the polylogarithm function Li_n (z).PolyLog[n, p, z] gives the Nielsen generalized polylogarithm function S n, p (z).

Algebraic Number Theory (Mathematica Guide)

With its convenient symbolic representation of algebraic numbers, Mathematica's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one ...

Numerical Operations on Functions (Mathematica Overview)

Arithmetic Numerical Mathematics in Mathematica The Uncertainties of Numerical Mathematics

StruveH (Built-in Mathematica Symbol)

StruveH[n, z] gives the Struve function H n (z).

WeierstrassInvariants (Built-in Mathematica Symbol)

WeierstrassInvariants[{\[Omega], \[Omega]^\[Prime]}] gives the invariants {g_2, g_3} for Weierstrass elliptic functions corresponding to the half-periods {\[Omega], ...

SqrtBox (Built-in Mathematica Symbol)

SqrtBox[x] is a low-level box construct that represents the displayed object Sqrt[x] in notebook expressions.

Functional Operations (Mathematica Overview)

Function Names as Expressions Applying Functions Repeatedly Applying Functions to Lists and Other Expressions

Cryptographic Number Theory (Mathematica Guide)

Mathematica's extensive base of state-of-the-art algorithms, efficient handling of very long integers, and powerful built-in language make it uniquely suited to both research ...

Structure Matrices & Convolution Kernels (Mathematica Guide)

Mathematica provides built-in functions for generating standard structure matrices and convolution kernels in any number of dimensions, in a form that can be used directly in ...