Definition
The Chebyshev polynomials of the first kind are defined by the recurrence relation
The conventional generating function for Tn is
The exponential generating function is
The generating function relevant for 2-dimensional potential theory and multipole expansion is
The Chebyshev polynomials of the second kind are defined by the recurrence relation
One example of a generating function for Un is
Read more about this topic: Chebyshev Polynomials
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