Summary

Source

ns = Range[0, 4];
style = {
    Axes -> False,
    GridLines -> Automatic,
    GridLinesStyle -> Directive[LightGray, Dashed],
    Frame -> True,
    PlotStyle -> AbsoluteThickness[3], 
    PlotLegends -> 
    Placed[
        LineLegend[
            StringTemplate["\!\(\*SubscriptBox[\(U\), \(``\)]\)(x)"] /@ ns, 
            LegendMargins -> 0, 
            LegendLayout -> {"Row", 1}
       ], Top
    ], 
    ImageSize -> 700
};

second = Table[ChebyshevU[n, x], {n, ns}];
Plot[Evaluate@second, {x, -1, 1}, Evaluate[style]]

Licensing

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