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ChebyshevT command syntax and polynomial question using mathematica 6

• To: mathgroup at smc.vnet.net
• Subject: [mg88275] ChebyshevT command syntax and polynomial question using mathematica 6
• From: ratullochjk2 at gmail.com
• Date: Wed, 30 Apr 2008 04:25:31 -0400 (EDT)

Greetings All

I execute the command and get the following output:

In[83] := FunctionExpand[1/2 Cos[2 ArcCos[x]] + 43/2 - 10 x] // Expand
Out[83]:= 21 - 10 x + x^2

What would be the proper format to execute the polynomial using
ChebyshevT to do it in reverse order?

Example:
I would input
In[83] := FunctionExpand[ChebyshevT[n, x]]
and it gives me
Out[83]:= Cos[n ArcCos[x]]

How can I do a
In[83] := FunctionExpand[ChebyshevT[n, x]]
and it would give me
Out[83]:= 1/2 Cos[2 ArcCos[x]] + 43/2 - 10 x

Is this the best way to go about this?
tia sal2