Hypergeometric1F1 (Built-in Mathematica Symbol)

Hypergeometric1F1[a, b, z] is the Kummer confluent hypergeometric function \[Null]_1 F_1 (a; b; z).

If (Built-in Mathematica Symbol)

If[condition, t, f] gives t if condition evaluates to True, and f if it evaluates to False. If[condition, t, f, u] gives u if condition evaluates to neither True nor False.

MultiplicativeOrder (Built-in Mathematica Symbol)

MultiplicativeOrder[k, n] gives the multiplicative order of k modulo n, defined as the smallest integer m such that k^m \[Congruent] 1 mod n. MultiplicativeOrder[k, n, {r_1, ...

Clear (Built-in Mathematica Symbol)

Clear[symbol_1, symbol_2, ...] clears values and definitions for the symbol_i. Clear["form_1", "form_2", ...] clears values and definitions for all symbols whose names match ...

Options Management (Mathematica Guide)

Directly integrated into the Mathematica language is a convenient symbolic options mechanism that allows arbitrary sequences of named parameters to be given to both built-in ...

Non-English Characters and Keyboards (Mathematica Tutorial)

If you enter text in languages other than English, you will typically need to use various additional accented and other characters. If your computer system is set up in an ...

WignerD (Built-in Mathematica Symbol)

WignerD[{j, m_1, m_2}, \[Psi], \[Theta], \[Phi]] gives the Wigner D-function D_m_1^m_2, j(\[Psi], \[Theta], \[Phi]).WignerD[{j, m_1, m_2}, \[Theta], \[Phi]] gives the Wigner ...

Constructing Lists (Mathematica Guide)

Mathematica provides powerful functions for constructing lists of any size and structure.

MathieuSPrime (Built-in Mathematica Symbol)

MathieuSPrime[a, q, z] gives the derivative with respect to z of the odd Mathieu function with characteristic value a and parameter q.

Series Expansions (Mathematica Guide)

Power series are in many ways the algebraic analog of limited-precision numbers. Mathematica can generate series approximations to virtually any combination of built-in ...