Functions with Variable Numbers of ... (Mathematica Tutorial)

Unless f is a flat function, a pattern like f[x_,y_] stands only for instances of the function with exactly two arguments. Sometimes you need to set up patterns that can ...

Spheroidal Functions (Mathematica Tutorial)

Spheroidal functions. The radial spheroidal functions SpheroidalS1[n,m, γ,z] and SpheroidalS2[n,m,γ,z] and angular spheroidal functions SpheroidalPS[n,m,γ,z] and ...

Assumptions and Domains (Mathematica Guide)

Mathematica has a flexible system for specifying arbitrary symbolic assumptions about variables. It uses a wide range of sophisticated algorithms to infer the consequences of ...

SphericalBesselJ (Built-in Mathematica Symbol)

SphericalBesselJ[n, z] gives the spherical Bessel function of the first kind j_n (z).

Hypergeometric0F1 (Built-in Mathematica Symbol)

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

NevilleThetaS (Built-in Mathematica Symbol)

NevilleThetaS[z, m] gives the Neville theta function \[CurlyTheta]_s (z \[VerticalSeparator] m).

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, ...

Entering Greek Letters (Mathematica Tutorial)

Ways to enter Greek letters in a notebook. Here is a palette for entering common Greek letters. You can use Greek letters just like the ordinary letters that you type on your ...

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) ... ...

Number Theory (Mathematica Guide)

Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...