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A new derivation of a closed form expression for Chebyshev polynomials of any order

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1 Author(s)
Cole, J.D. ; Dept. of Electr. Eng., Louisville Univ., KY, USA

The author presents a new derivation of a closed-form expression for the Chebyshev polynomial Cn( omega ) based on the method of the Z-transform. The result permits the rapid determination of Cn( omega ) for any order n without the need to evaluate Cn( omega ) for all lower values of n.

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Education, IEEE Transactions on  (Volume:32 ,  Issue: 3 )