HP Prime Graphing NW280AAABA manual LagrangeX1 X2…, Y1 Y2…, LaguerreInteger, Tchebyshev1Integer

Lagrange Given a vector of abscissas and a vector of ordinates, returns the Lagrange polynomial for the points specified in the two vectors. This function can also take a matrix as argument, with the first row containing the abscissas and the second row containing the ordinates.

lagrange([X1 X2…], [Y1 Y2…]))

or

lagrange	⎛	X1	X2	...	⎞
	⎝⎜	Y1	Y2	...	⎠⎟

Example:

lagrange([1,3],[0,1]) gives (x-1)/2

Laguerre Given an integer n, returns the Laguerre polynomial of degree n.

laguerre(Integer))

Example:

laguerre(4) returns 1/24*a^4+(-1/6)*a^3*x+5/ 12*a^3+1/4*a^2*x^2+(-3/2)*a^2*x+35/24*a^2+(- 1/6)*a*x^3+7/4*a*x^2+(-13/3)*a*x+25/12*a+1/ 24*x^4+(-2/3)*x^3+3*x^2-4*x+1

Legendre Given an integer n, returns the Legendre polynomial of degree n.

legendre(Integer)

Example:

legendre(4) returns	35	⋅	x	4	+	15	⋅	x	2	+	3
	8					4					8
	------					------					---

Chebyshev Tn Given an integer n, returns the Tchebyshev polynomial (of the first kind) of degree n.

tchebyshev1(Integer)

Example:

tchebyshev1(3) gives 4*x^3-3*x

Chebyshev Un Given an integer n, returns the Tchebyshev polynomial (of the second kind) of degree n.

tchebyshev2(Integer)

Example:

tchebyshev2(3) gives 8*x^3-4*x

Functions and commands 345