SphericalBesselY[n, z] gives the spherical Bessel function of the second kind y_n (z).
TrigToExp[expr] converts trigonometric functions in expr to exponentials.
AiryAi
(Built-in Mathematica Symbol) AiryAi[z] gives the Airy function Ai(z).
AiryBi
(Built-in Mathematica Symbol) AiryBi[z] gives the Airy function Bi(z).
D
(Built-in Mathematica Symbol) D[f, x] gives the partial derivative \[PartialD]f/\[PartialD]x. D[f, {x, n}] gives the multiple derivative \[PartialD]^n f/\[PartialD]x^n. D[f, x, y, ...] differentiates f ...
FunctionExpand[expr] tries to expand out special and certain other functions in expr, when possible reducing compound arguments to simpler ones. FunctionExpand[expr, assum] ...
The shooting method works by considering the boundary conditions as a multivariate function of initial conditions at some point, reducing the boundary value problem to ...
AiryBiPrime[z] gives the derivative of the Airy function Bi^\[Prime] (z).
LegendreP[n, x] gives the Legendre polynomial P_n (x). LegendreP[n, m, x] gives the associated Legendre polynomial P_n^m(x).
UnitStep[x] represents the unit step function, equal to 0 for x < 0 and 1 for x >= 0. UnitStep[x_1, x_2, ...] represents the multidimensional unit step function which is 1 ...