Editing Chebyshev polynomials (section)

===First kind===
[[File:Chebyshev Polynomials of the 1st Kind (n=0-5, x=(-1,1)).svg|thumb|300px|The first few Chebyshev polynomials of the first kind in the domain {{math|−1 < ''x'' < 1}}:
The flat <span style="color:purple;">{{math|''T''<sub>0</sub>}}</span>, <span style="color:red;">{{math|''T''<sub>1</sub>}}</span>, <span style="color:blue;">{{math|''T''<sub>2</sub>}}</span>, <span style="color:green;">{{math|''T''<sub>3</sub>}}</span>, <span style="color:orange;">{{math|''T''<sub>4</sub>}}</span> and <span style="color:black;">{{math|''T''<sub>5</sub>}}</span>.]]

The first few Chebyshev polynomials of the first kind are {{OEIS2C|A028297}}
<math display="block"> \begin{align}
T_0(x) &= 1 \\
T_1(x) &= x \\
T_2(x) &= 2x^2 - 1 \\
T_3(x) &= 4x^3 - 3x \\
T_4(x) &= 8x^4 - 8x^2 + 1 \\
T_5(x) &= 16x^5 - 20x^3 + 5x \\
T_6(x) &= 32x^6 - 48x^4 + 18x^2 - 1 \\
T_7(x) &= 64x^7 - 112x^5 + 56x^3 - 7x \\
T_8(x) &= 128x^8 - 256x^6 + 160x^4 - 32x^2 + 1 \\
T_9(x) &= 256x^9 - 576x^7 + 432x^5 - 120x^3 + 9x \\
T_{10}(x) &= 512x^{10} - 1280x^8 + 1120x^6 - 400x^4 + 50x^2-1
\end{align}</math>