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How can I apply the Chebyshev polynomials for Complex numbers?

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m.mohamed

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I desire to design a microwave filter using Chebyshev polynomials but I would like to use dispersive materials for the multilayer structure. In this case the parameter 'X' will be Complex

T1 (x) =x
T2 (x) =2x2 − 1
T3 (x) =4x3 − 3x
T4 (x) =8x4 − 8x2 + 1
T5 (x) =16x5 − 20x3 + 5x

did someone do something like that from before?
 

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