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On some properties of Chebyshev polynomials

100%

Belbachir H., Bencherif F.

Discussiones Mathematicae - General Algebra and Applications

2008

tom 28

nr 1

121-133

Letting $T_{n}$ (resp. $U_{n}$) be the n-th Chebyshev polynomials of the first (resp. second) kind, we prove that the sequences $(X^{k}T_{n-k})_{k}$ and $(X^{k}U_{n-k})_{k}$ for n - 2⎣n/2⎦ ≤ k ≤ n - ⎣n/2⎦ are two basis of the ℚ-vectorial space $𝔼_{n}[X]$ formed by the polynomials of ℚ[X] having the same parity as n and of degree ≤ n. Also $T_{n}$ and $U_{n}$ admit remarkableness integer coordinates on each of the two basis.

Polynomials of multipartitional type and inverse relations

100%

Mihoubi M., Belbachir H.

Discussiones Mathematicae - General Algebra and Applications

2011

tom 31

nr 2

185-199

Chou, Hsu and Shiue gave some applications of Faà di Bruno's formula to characterize inverse relations. Our aim is to develop some inverse relations connected to the multipartitional type polynomials involving to binomial type sequences.

Ograniczanie wyników

2 Discussiones Mathematicae - General Algebra and Applications

2 Belbachir H.

1 Bencherif F.

1 Mihoubi M.

1 2011

1 2008

Wyniki wyszukiwania

On some properties of Chebyshev polynomials

Polynomials of multipartitional type and inverse relations