Resources for Patterns in Polynomials

Note: In some references, is referred to as the Chebyshev polynomial of the first kind.  There is another sequence called the Chebyshev polynomials of the second kind, usually denoted , which we do not consider here.

Books
J. Mason, Chebyshev Polynomials : Theory and Applications, Chapman & Hall, 2001
T. J. Rivlin, The Chebyshev Polynomials, Wiley, 1974.

Internet Resources
WebTrig  - trigonometry review - http://www.math.uakron.edu/~tprice/Trig/toc.html

Software
TI
Click here for a TI-92 function to generate the Chebyshev Polynomials.

Mathematica
The Chebyshev polynomials are built into most computer algebra systems.  In Mathematica, ChebyshevT[n,x] evaluates to the Chebyshev polynomial with variable x.

Maple
The Chebyshev polynomials are not built into Maple, but click here for a worksheet what will define them.

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