Combinatorially composing Chebyshev polynomials
0101 mathematics
01 natural sciences
DOI:
10.1016/j.jspi.2010.01.012
Publication Date:
2010-01-21T09:40:04Z
AUTHORS (2)
ABSTRACT
We present a combinatorial proof of two fundamental composition identities associated with Chebyshev polynomials. Namely, for all m,n " 0, Tm(Tn(x)) = Tmn(x) and Um! 1(Tn(x))Un! 1(x )= Umn! 1(x).
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