An inequality in Euclidean spaces.
A multinomial extension of an inequality of Haber.
Linear recurrent sequences and powers of a square matrix.
On a sum involving powers of reciprocals of an arithmetical progression.
On some properties of bivariate Fibonacci and Lucas polynomials.
Unimodal rays in the regular and generalized Pascal pyramids.
Connection between ordinary multinomials, Fibonacci numbers, Bell polynomials and discrete uniform distribution.
Unimodality of certain sequences connected with binomial coefficients.
Sums involving moments of reciprocals of binomial coefficients.
On some properties of Chebyshev polynomials
Letting (resp. ) be the n-th Chebyshev polynomials of the first (resp. second) kind, we prove that the sequences and for n - 2⎣n/2⎦ ≤ k ≤ n - ⎣n/2⎦ are two basis of the ℚ-vectorial space formed by the polynomials of ℚ[X] having the same parity as n and of degree ≤ n. Also and admit remarkableness integer coordinates on each of the two basis.
Polynomials of multipartitional type and inverse relations
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.
Développement asymptotique de la somme des inverses d’une fonction arithmétique
La somme des puissances des inverses de , désignant le nombre de nombres premiers n’excédant pas , a fait l’objet de nombreux travaux. Nous généralisons, dans cet article, les formules asymptotiques obtenues par ces auteurs à toute une classe de fonctions arithmétiques.
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