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)
Abstract: We prove a generalization of a conjectured formula of Melham and provide some background a...
There are many interesting properties of these polynomials [1]. Using Trudi’s formula [2] for deter...
We provide a list of simple looking identities that are still in need of combinatorial proof
We present a combinatorial proof of two fundamental composition identities associated with Chebyshev...
Chebyshev polynomials have several elegant combinatorial interpretations. Specificially, the Chebysh...
We present a combinatorial proof of two fundamental composition identities asso-ciated with Chebyshe...
Chebyshev polynomials have several elegant combinatorial interpretations. Specificially, the Chebysh...
We provide a combinatorial proof of the trigonometric identity cos(nθ) = Tncos(θ),where Tn is the Ch...
We present a combinatorial interpretation of Chebyshev polynomials. The nth Chebyshev polynomial of ...
We present a combinatorial interpretation of Chebyshev polynomials. The nth Chebyshev polynomial of ...
The author grants HarveyMudd College the nonexclusive right to make this work available for noncomme...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
We provide a combinatorial proof of the trigonometric identity cos(nθ) = Tn(cos θ), where Tn is the...
Abstract: We prove a generalization of a conjectured formula of Melham and provide some background a...
There are many interesting properties of these polynomials [1]. Using Trudi’s formula [2] for deter...
We provide a list of simple looking identities that are still in need of combinatorial proof
We present a combinatorial proof of two fundamental composition identities associated with Chebyshev...
Chebyshev polynomials have several elegant combinatorial interpretations. Specificially, the Chebysh...
We present a combinatorial proof of two fundamental composition identities asso-ciated with Chebyshe...
Chebyshev polynomials have several elegant combinatorial interpretations. Specificially, the Chebysh...
We provide a combinatorial proof of the trigonometric identity cos(nθ) = Tncos(θ),where Tn is the Ch...
We present a combinatorial interpretation of Chebyshev polynomials. The nth Chebyshev polynomial of ...
We present a combinatorial interpretation of Chebyshev polynomials. The nth Chebyshev polynomial of ...
The author grants HarveyMudd College the nonexclusive right to make this work available for noncomme...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
The Chebyshev polynomials arise in several mathematical contexts such as approximation theory, numer...
We provide a combinatorial proof of the trigonometric identity cos(nθ) = Tn(cos θ), where Tn is the...
Abstract: We prove a generalization of a conjectured formula of Melham and provide some background a...
There are many interesting properties of these polynomials [1]. Using Trudi’s formula [2] for deter...
We provide a list of simple looking identities that are still in need of combinatorial proof