V. De Angelis

activity

20132023

most citedWilf's Conjecture

3 citations · 7 across the 5 of their papers we have counts for

collaborators

5 papers

math.CA2023

Estimating the $k$ th coefficient of $(f (z))^{n}$ when $k$ is not too large

Valerio De Angelis

We derive asymptotic estimates for the coefficient of $z^{k}$ in $(f (z))^{n}$ when $n \to \infty$ and $k$ is of order $n^{δ}$ , where $0 < δ < 1,$ and…

math.NT2023★ 3 cited

Wilf's Conjecture

Valerio De Angelis, Dominic Marcello

In a Note in this Monthly, Klazar raised the question of whether the alternating sum of the Stirling numbers of the second kind $B^{\pm} (n) = \sum_{k = 0}^{n} (- 1)^{k} S (n, k)$ is ever zero for…

math.NT2015

The Stern diatomic sequence via generalized Chebyshev polynomials

Valerio De Angelis

Let a(n) be the Stern's diatomic sequence, and let x1,...,xr be the distances between successive 1's in the binary expansion of the (odd) positive integer n. We show that a(n) is o…

math-ph2015★ 1 cited

Euler Polynomials and Identities for Non-Commutative Operators

V. De Angelis, C. Vignat

Three kinds of identities involving non-commutating operators and Euler and Bernoulli polynomials are studied. The first identity, as given by Bender and Bettencourt, expresses the…

math-ph2013★ 3 cited

Form Sequences to Polynomials and Back, via Operator Orderings

T. Amdeberhan, V. De Angelis, A. Dixit +2

C.M. Bender and G. V. Dunne showed that linear combinations of words $q^{k} p^{n} q^{n - k}$ , where $p$ and $q$ are subject to the relation $q p - pq = $ , may be expressed as a po…