DiscreteDelta (Built-in Mathematica Symbol)

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.

EllipticNomeQ (Built-in Mathematica Symbol)

EllipticNomeQ[m] gives the nome q corresponding to the parameter m in an elliptic function.

E (Built-in Mathematica Symbol)

E is the exponential constant E (base of natural logarithms), with numerical value \[TildeEqual] 2.71828.

Hypergeometric0F1 (Built-in Mathematica Symbol)

Hypergeometric0F1[a, z] is the confluent hypergeometric function \[Null]_0 F_1 (; a; z).

Hypergeometric2F1Regularized (Built-in Mathematica Symbol)

Hypergeometric2F1Regularized[a, b, c, z] is the regularized hypergeometric function \[Null]_2 F_1 (a, b; c; z)/\[CapitalGamma](c).

HypergeometricPFQRegularized (Built-in Mathematica Symbol)

HypergeometricPFQRegularized[{a_1, ..., a_p}, {b_1, ..., b_q}, z] is the regularized generalized hypergeometric function \[Null]_p F_q (a; b; z)/(\[CapitalGamma](b_1) ... ...

InverseErfc (Built-in Mathematica Symbol)

InverseErfc[s] gives the inverse complementary error function obtained as the solution for z in s = erfc(z).

InverseWeierstrassP (Built-in Mathematica Symbol)

InverseWeierstrassP[p, {g_2, g_3}] gives a value of u for which the Weierstrass function \[WeierstrassP] (u; g_2, g_3) is equal to p.

MathieuS (Built-in Mathematica Symbol)

MathieuS[a, q, z] gives the odd Mathieu function with characteristic value a and parameter q.

PartitionsQ (Built-in Mathematica Symbol)

PartitionsQ[n] gives the number q (n) of partitions of the integer n into distinct parts.