Fermat-Lucas Polynomial

Author

Eric W. Weisstein
November 24, 2002

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/Fermat-LucasPolynomial.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Fermat-LucasPolynomial.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Initialization

<<Lucas`;

Plot

<<Graphics`Colors`

Plot[Evaluate[Table[Fermatf[n,x],{n,0,5}]],{x,-1,1},
PlotStyle->{Black,Red,Yellow,Green,Blue,Violet},
PlotRange->{Automatic,{-15,15}},
AxesLabel->TraditionalForm/@{x,Subscript[f,n][x]}]

Enumeration

Table[Fermatf[n,x],{n,0,5}]//Expand//ColumnForm//TraditionalForm