KelvinKer (Built-in Mathematica Symbol)

KelvinKer[z] gives the Kelvin function ker(z).KelvinKer[n, z] gives the Kelvin function ker_n (z).

ComposeList (Built-in Mathematica Symbol)

ComposeList[{f_1, f_2, ...}, x] generates a list of the form {x, f_1[x], f_2[f_1[x]], ...}.

SpheroidalQS (Built-in Mathematica Symbol)

SpheroidalQS[n, m, \[Gamma], z] gives the angular spheroidal function QS n, m (\[Gamma], z) of the second kind.

HermiteH (Built-in Mathematica Symbol)

HermiteH[n, x] gives the Hermite polynomial H_n (x).

Functional Operations (Mathematica Overview)

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

KelvinBei (Built-in Mathematica Symbol)

KelvinBei[z] gives the Kelvin function bei(z).KelvinBei[n, z] gives the Kelvin function bei_n (z).

Hypergeometric2F1 (Built-in Mathematica Symbol)

Hypergeometric2F1[a, b, c, z] is the hypergeometric function \[InvisiblePrefixScriptBase]_2 F_1 (a, b; c; z).

LaguerreL (Built-in Mathematica Symbol)

LaguerreL[n, x] gives the Laguerre polynomial L_n (x). LaguerreL[n, a, x] gives the generalized Laguerre polynomial L_n^a(x).

LegendreQ (Built-in Mathematica Symbol)

LegendreQ[n, z] gives the Legendre function of the second kind Q_n (z). LegendreQ[n, m, z] gives the associated Legendre function of the second kind Q_n^m(z).

Making Power Series Expansions (Mathematica Tutorial)

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...