Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1148126 | Journal of Statistical Planning and Inference | 2010 | 7 Pages |
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 Umâ1(Tn(x))Unâ1(x)=Umnâ1(x).
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Arthur T. Benjamin, Daniel Walton,