MeijerG (Built-in Mathematica Symbol)

MeijerG[{{a_1, ..., a_n}, {a n + 1, ..., a_p}}, {{b_1, ..., b_m}, {b m + 1, ..., b_q}}, z] is the Meijer G function G_p q^m n(z \[VerticalSeparator] {{a_1, ..., a_p}, {b_1, ...

WeierstrassSigma (Built-in Mathematica Symbol)

WeierstrassSigma[u, {g_2, g_3}] gives the Weierstrass sigma function \[Sigma](u; g_2, g_3).

JacobiCS (Built-in Mathematica Symbol)

JacobiCS[u, m] gives the Jacobi elliptic function cs(u | m).

Matrices and Linear Algebra (Mathematica Guide)

Mathematica automatically handles both numeric and symbolic matrices, seamlessly switching among large numbers of highly-optimized algorithms. Using many original methods, ...

JacobiSC (Built-in Mathematica Symbol)

JacobiSC[u, m] gives the Jacobi elliptic function sc(u | m).

JacobiCD (Built-in Mathematica Symbol)

JacobiCD[u, m] gives the Jacobi elliptic function cd(u | m).

JacobiDC (Built-in Mathematica Symbol)

JacobiDC[u, m] gives the Jacobi elliptic function dc(u | m).

JacobiNC (Built-in Mathematica Symbol)

JacobiNC[u, m] gives the Jacobi elliptic function nc(u | m).

CarmichaelLambda (Built-in Mathematica Symbol)

CarmichaelLambda[n] gives the Carmichael function \[Lambda](n), defined as the smallest integer m such that k^m \[Congruent] 1 mod n for all k relatively prime to n.

IntegerPartitions (Built-in Mathematica Symbol)

IntegerPartitions[n] gives a list of all possible ways to partition the integer n into smaller integers. IntegerPartitions[n, k] gives partitions into at most k integers. ...