Mathematica cells for Chebyshev polynomials of the second kind
(*
Atlas for Computing Mathematical
Functions
by William J. Thompson *)
(*
You MUST execute this cell first *)
(* Numerical Tables of Orthogonal Polynomials
depending on just n and x *)
NumTableOP[poly_,name_,maxn_,xmin_,xmax_,xstep_]
:=
N[TableForm[Table[{n,poly[n,x]},
{x,xmin,xmax,xstep},{n,0,maxn}],
TableHeadings->
(*
ChebyU cell *)
(* Chebyshev Polynomials of Second Kind, Un
*)
ChebySecondChart
= Plot3D[
ChebyshevU[n,x],{x,-0.9,0.9},{n,2,8},
PlotRange->All,PlotPoints->{30,30},
Ticks->{Automatic,Automatic,None},
PlotLabel->"Chebyshev
Un(x)",
AxesEdge->{Automatic,{1,-1},Automatic},
AxesLabel->{"x","
n"," "}];
(*
Chebyshev Un: Numerical *)
NumTableOP[ChebyshevU,Un,4,-1,1,0.5]